928801152 has 96 divisors (see below), whose sum is σ = 2703051000. Its totient is φ = 306087936.

The previous prime is 928801141. The next prime is 928801193. The reversal of 928801152 is 251108829.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97999 + ... + 107057.

Almost surely, 2^928801152 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 928801152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351525500).

928801152 is an abundant number, since it is smaller than the sum of its proper divisors (1774249848).

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

928801152 is a wasteful number, since it uses less digits than its factorization.

928801152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9168 (or 9153 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 928801152 is about 30476.2391380564. The cubic root of 928801152 is about 975.6804023892.

The spelling of 928801152 in words is "nine hundred twenty-eight million, eight hundred one thousand, one hundred fifty-two".