535387328 has 112 divisors (see below), whose sum is σ = 1283208000. Its totient is φ = 221539584.

The previous prime is 535387309. The next prime is 535387331. The reversal of 535387328 is 823783535.

The cubic root of 535387328 is 812.

It is a perfect power (a cube), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (112).

Its product of digits (604800) is a multiple of the sum of its prime factors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18461618 + ... + 18461646.

Almost surely, 2^535387328 is an apocalyptic number.

535387328 is a gapful number since it is divisible by the number (58) 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 535387328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641604000).

535387328 is an abundant number, since it is smaller than the sum of its proper divisors (747820672).

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

535387328 is an frugal number, since it uses more digits than its factorization.

535387328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 38 counting only the distinct ones).

The product of its digits is 604800, while the sum is 44.

The square root of 535387328 is about 23138.4383224106.

The spelling of 535387328 in words is "five hundred thirty-five million, three hundred eighty-seven thousand, three hundred twenty-eight".