828399264 has 96 divisors (see below), whose sum is σ = 2711149056. Its totient is φ = 215166720.

The previous prime is 828399263. The next prime is 828399289. The reversal of 828399264 is 462993828.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (828399263) 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, 48642 + ... + 63425.

It is an arithmetic number, because the mean of its divisors is an integer number (28241136).

Almost surely, 2^828399264 is an apocalyptic number.

828399264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

828399264 is an abundant number, since it is smaller than the sum of its proper divisors (1882749792).

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

828399264 is a wasteful number, since it uses less digits than its factorization.

828399264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112098 (or 112090 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 828399264 is about 28781.9259953187. The cubic root of 828399264 is about 939.1750964417.

The spelling of 828399264 in words is "eight hundred twenty-eight million, three hundred ninety-nine thousand, two hundred sixty-four".