28610820 has 216 divisors, whose sum is σ = 106526784. Its totient is φ = 6314112.

The previous prime is 28610807. The next prime is 28610821. The reversal of 28610820 is 2801682.

28610820 is a `hidden beast` number, since 28 + 610 + 8 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (28610821) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 986566 + ... + 986594.

Almost surely, 2^28610820 is an apocalyptic number.

28610820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28610820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53263392).

28610820 is an abundant number, since it is smaller than the sum of its proper divisors (77915964).

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

28610820 is a wasteful number, since it uses less digits than its factorization.

28610820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 28610820 is about 5348.9082998309. The cubic root of 28610820 is about 305.8511386671.

The spelling of 28610820 in words is "twenty-eight million, six hundred ten thousand, eight hundred twenty".