996928128 has 384 divisors, whose sum is σ = 3553680000. Its totient is φ = 275014656.

The previous prime is 996928103. The next prime is 996928171. The reversal of 996928128 is 821829699.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (384).

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34376818 + ... + 34376846.

It is an arithmetic number, because the mean of its divisors is an integer number (9254375).

Almost surely, 2^996928128 is an apocalyptic number.

996928128 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996928128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776840000).

996928128 is an abundant number, since it is smaller than the sum of its proper divisors (2556751872).

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

996928128 is an equidigital number, since it uses as much as digits as its factorization.

996928128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 41 counting only the distinct ones).

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

The square root of 996928128 is about 31574.1686826431. The cubic root of 996928128 is about 998.9749923850.

The spelling of 996928128 in words is "nine hundred ninety-six million, nine hundred twenty-eight thousand, one hundred twenty-eight".