928172080 has 80 divisors (see below), whose sum is σ = 2363134464. Its totient is φ = 336234240.

The previous prime is 928172053. The next prime is 928172087. The reversal of 928172080 is 80271829.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (928172087) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 247177 + ... + 250903.

Almost surely, 2^928172080 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 928172080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181567232).

928172080 is an abundant number, since it is smaller than the sum of its proper divisors (1434962384).

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

928172080 is a wasteful number, since it uses less digits than its factorization.

928172080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 928172080 is about 30465.9166939057. The cubic root of 928172080 is about 975.4600782860.

The spelling of 928172080 in words is "nine hundred twenty-eight million, one hundred seventy-two thousand, eighty".