900910728 has 64 divisors (see below), whose sum is σ = 2511604800. Its totient is φ = 299214720.

The previous prime is 900910691. The next prime is 900910729. The reversal of 900910728 is 827019009.

It is a happy number.

900910728 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 (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 900910692 and 900910701.

It is not an unprimeable number, because it can be changed into a prime (900910729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53275 + ... + 68117.

It is an arithmetic number, because the mean of its divisors is an integer number (39243825).

Almost surely, 2^900910728 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 900910728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255802400).

900910728 is an abundant number, since it is smaller than the sum of its proper divisors (1610694072).

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

900910728 is a wasteful number, since it uses less digits than its factorization.

900910728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15139 (or 15129 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 900910728 is about 30015.1749620088. The cubic root of 900910728 is about 965.8149408241.

The spelling of 900910728 in words is "nine hundred million, nine hundred ten thousand, seven hundred twenty-eight".