500992128 has 448 divisors, whose sum is σ = 1872964800. Its totient is φ = 129890304.

The previous prime is 500992127. The next prime is 500992153. The reversal of 500992128 is 821299005.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×500992128² = 501986224635936768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 500992092 and 500992101.

It is not an unprimeable number, because it can be changed into a prime (500992127) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8491363 + ... + 8491421.

It is an arithmetic number, because the mean of its divisors is an integer number (4180725).

Almost surely, 2^500992128 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 500992128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936482400).

500992128 is an abundant number, since it is smaller than the sum of its proper divisors (1371972672).

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

500992128 is an equidigital number, since it uses as much as digits as its factorization.

500992128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 500992128 is about 22382.8534373971. The cubic root of 500992128 is about 794.2251474861.

The spelling of 500992128 in words is "five hundred million, nine hundred ninety-two thousand, one hundred twenty-eight".