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28328130 = 234541853
BaseRepresentation
bin110110000010…
…0000011000010
31222022012220000
41230010003002
524223000010
62451100430
7462533205
oct154040302
958265800
1028328130
1114a99386
1295a1716
135b3b00c
143a9593c
1527487c0
hex1b040c2

28328130 has 80 divisors (see below), whose sum is σ = 78120504. Its totient is φ = 7361280.

The previous prime is 28328123. The next prime is 28328173. The reversal of 28328130 is 3182382.

It can be written as a sum of positive squares in 4 ways, for example, as 7834401 + 20493729 = 2799^2 + 4527^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 28328094 and 28328103.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32784 + ... + 33636.

Almost surely, 228328130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28328130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39060252).

28328130 is an abundant number, since it is smaller than the sum of its proper divisors (49792374).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28328130 is a wasteful number, since it uses less digits than its factorization.

28328130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 28328130 is about 5322.4176837223. The cubic root of 28328130 is about 304.8404791549.

The spelling of 28328130 in words is "twenty-eight million, three hundred twenty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 162 205 246 270 369 405 410 615 738 810 853 1107 1230 1706 1845 2214 2559 3321 3690 4265 5118 5535 6642 7677 8530 11070 12795 15354 16605 23031 25590 33210 34973 38385 46062 69093 69946 76770 104919 115155 138186 174865 209838 230310 314757 345465 349730 524595 629514 690930 944271 1049190 1573785 1888542 2832813 3147570 4721355 5665626 9442710 14164065 28328130