264428032 has 80 divisors (see below), whose sum is σ = 596613600. Its totient is φ = 115978240.

The previous prime is 264427993. The next prime is 264428039. The reversal of 264428032 is 230824462.

It is a junction number, because it is equal to n+sod(n) for n = 264427985 and 264428003.

It is not an unprimeable number, because it can be changed into a prime (264428039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162519 + ... + 164137.

It is an arithmetic number, because the mean of its divisors is an integer number (7457670).

Almost surely, 2^264428032 is an apocalyptic number.

264428032 is a gapful number since it is divisible by the number (22) 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 264428032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298306800).

264428032 is an abundant number, since it is smaller than the sum of its proper divisors (332185568).

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

264428032 is a wasteful number, since it uses less digits than its factorization.

264428032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 264428032 is about 16261.2432489032. The cubic root of 264428032 is about 641.8533776181.

The spelling of 264428032 in words is "two hundred sixty-four million, four hundred twenty-eight thousand, thirty-two".