900340728 has 128 divisors (see below), whose sum is σ = 2674598400. Its totient is φ = 247113216.

The previous prime is 900340717. The next prime is 900340729. The reversal of 900340728 is 827043009.

It is a super-2 number, since 2×900340728² = 1621226852991139968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900340729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1378450 + ... + 1379102.

It is an arithmetic number, because the mean of its divisors is an integer number (20895300).

Almost surely, 2^900340728 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 900340728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337299200).

900340728 is an abundant number, since it is smaller than the sum of its proper divisors (1774257672).

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

900340728 is a wasteful number, since it uses less digits than its factorization.

900340728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 900340728 is about 30005.6782626222. The cubic root of 900340728 is about 965.6112097024.

The spelling of 900340728 in words is "nine hundred million, three hundred forty thousand, seven hundred twenty-eight".