493567128 has 64 divisors (see below), whose sum is σ = 1381564800. Its totient is φ = 163257120.

The previous prime is 493567127. The next prime is 493567133. The reversal of 493567128 is 821765394.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493567127) 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, 19575 + ... + 37017.

It is an arithmetic number, because the mean of its divisors is an integer number (21586950).

Almost surely, 2^493567128 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 493567128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690782400).

493567128 is an abundant number, since it is smaller than the sum of its proper divisors (887997672).

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

493567128 is a wasteful number, since it uses less digits than its factorization.

493567128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17589 (or 17579 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 493567128 is about 22216.3707207095. The cubic root of 493567128 is about 790.2819737973.

The spelling of 493567128 in words is "four hundred ninety-three million, five hundred sixty-seven thousand, one hundred twenty-eight".