828266160 has 80 divisors (see below), whose sum is σ = 2570415840. Its totient is φ = 220631040.

The previous prime is 828266147. The next prime is 828266167. The reversal of 828266160 is 61662828.

828266160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×828266160² = 1372049663602291200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (828266167) 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, 387976 + ... + 390104.

It is an arithmetic number, because the mean of its divisors is an integer number (32130198).

Almost surely, 2^828266160 is an apocalyptic number.

828266160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828266160 is an abundant number, since it is smaller than the sum of its proper divisors (1742149680).

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

828266160 is a wasteful number, since it uses less digits than its factorization.

828266160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 828266160 is about 28779.6136179762. The cubic root of 828266160 is about 939.1247927361.

The spelling of 828266160 in words is "eight hundred twenty-eight million, two hundred sixty-six thousand, one hundred sixty".