900991728 has 480 divisors, whose sum is σ = 3354785280. Its totient is φ = 226437120.

The previous prime is 900991709. The next prime is 900991787. The reversal of 900991728 is 827199009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20953275 + ... + 20953317.

It is an arithmetic number, because the mean of its divisors is an integer number (6989136).

Almost surely, 2^900991728 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 900991728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677392640).

900991728 is an abundant number, since it is smaller than the sum of its proper divisors (2453793552).

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

900991728 is a wasteful number, since it uses less digits than its factorization.

900991728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 900991728 is about 30016.5242491532. The cubic root of 900991728 is about 965.8438851147.

The spelling of 900991728 in words is "nine hundred million, nine hundred ninety-one thousand, seven hundred twenty-eight".