928996128 has 120 divisors (see below), whose sum is σ = 2851123968. Its totient is φ = 296182656.

The previous prime is 928996109. The next prime is 928996129. The reversal of 928996128 is 821699829.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (928996129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51825 + ... + 67407.

Almost surely, 2^928996128 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 928996128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425561984).

928996128 is an abundant number, since it is smaller than the sum of its proper divisors (1922127840).

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

928996128 is a wasteful number, since it uses less digits than its factorization.

928996128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15628 (or 15611 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 928996128 is about 30479.4377900906. The cubic root of 928996128 is about 975.7486699446.

The spelling of 928996128 in words is "nine hundred twenty-eight million, nine hundred ninety-six thousand, one hundred twenty-eight".