902728356 has 96 divisors (see below), whose sum is σ = 2319166080. Its totient is φ = 272025600.

The previous prime is 902728273. The next prime is 902728367. The reversal of 902728356 is 653827209.

902728356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 1957966 + ... + 1958426.

It is an arithmetic number, because the mean of its divisors is an integer number (24157980).

Almost surely, 2^902728356 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 902728356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159583040).

902728356 is an abundant number, since it is smaller than the sum of its proper divisors (1416437724).

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

902728356 is a wasteful number, since it uses less digits than its factorization.

902728356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 902728356 is about 30045.4381895156. The cubic root of 902728356 is about 966.4640295559.

The spelling of 902728356 in words is "nine hundred two million, seven hundred twenty-eight thousand, three hundred fifty-six".