928111872 has 144 divisors (see below), whose sum is σ = 2656971072. Its totient is φ = 286556160.

The previous prime is 928111861. The next prime is 928111879. The reversal of 928111872 is 278111829.

It is a super-2 number, since 2×928111872² = 1722783293894688768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 928111872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (928111879) 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, 874222 + ... + 875282.

It is an arithmetic number, because the mean of its divisors is an integer number (18451188).

Almost surely, 2^928111872 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 928111872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328485536).

928111872 is an abundant number, since it is smaller than the sum of its proper divisors (1728859200).

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

928111872 is a wasteful number, since it uses less digits than its factorization.

928111872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1150 counting only the distinct ones).

The product of its digits is 16128, while the sum is 39.

The square root of 928111872 is about 30464.9285572771. The cubic root of 928111872 is about 975.4389860153.

The spelling of 928111872 in words is "nine hundred twenty-eight million, one hundred eleven thousand, eight hundred seventy-two".