306728856 has 160 divisors (see below), whose sum is σ = 1033824000. Its totient is φ = 83001024.

The previous prime is 306728843. The next prime is 306728857. The reversal of 306728856 is 658827603.

It is a super-2 number, since 2×306728856² = 188165182206137472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306728857) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84405 + ... + 87963.

It is an arithmetic number, because the mean of its divisors is an integer number (6461400).

Almost surely, 2^306728856 is an apocalyptic number.

306728856 is a gapful number since it is divisible by the number (36) 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 306728856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516912000).

306728856 is an abundant number, since it is smaller than the sum of its proper divisors (727095144).

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

306728856 is a wasteful number, since it uses less digits than its factorization.

306728856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3603 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 306728856 is about 17513.6762560006. The cubic root of 306728856 is about 674.4010093575.

The spelling of 306728856 in words is "three hundred six million, seven hundred twenty-eight thousand, eight hundred fifty-six".