928472328 has 128 divisors (see below), whose sum is σ = 2955168000. Its totient is φ = 264591360.

The previous prime is 928472309. The next prime is 928472329. The reversal of 928472328 is 823274829.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (928472329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 998968 + ... + 999896.

It is an arithmetic number, because the mean of its divisors is an integer number (23087250).

Almost surely, 2^928472328 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 928472328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477584000).

928472328 is an abundant number, since it is smaller than the sum of its proper divisors (2026695672).

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

928472328 is a wasteful number, since it uses less digits than its factorization.

928472328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1602 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 928472328 is about 30470.8439003583. The cubic root of 928472328 is about 975.5652485696.

The spelling of 928472328 in words is "nine hundred twenty-eight million, four hundred seventy-two thousand, three hundred twenty-eight".