6100409028 has 96 divisors (see below), whose sum is σ = 17371791360. Its totient is φ = 1628565120.

The previous prime is 6100409009. The next prime is 6100409033. The reversal of 6100409028 is 8209040016.

6100409028 = 407² + 408² + ... + 2638².

It is a junction number, because it is equal to n+sod(n) for n = 6100408986 and 6100409004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35125 + ... + 115907.

It is an arithmetic number, because the mean of its divisors is an integer number (180956160).

Almost surely, 2^6100409028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6100409028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8685895680).

6100409028 is an abundant number, since it is smaller than the sum of its proper divisors (11271382332).

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

6100409028 is a wasteful number, since it uses less digits than its factorization.

6100409028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80857 (or 80855 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 6100409028 is about 78105.1152486186. The cubic root of 6100409028 is about 1827.2009752762.

The spelling of 6100409028 in words is "six billion, one hundred million, four hundred nine thousand, twenty-eight".