828368160 has 48 divisors (see below), whose sum is σ = 2609361216. Its totient is φ = 220898048.

The previous prime is 828368153. The next prime is 828368221. The reversal of 828368160 is 61863828.

828368160 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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 862404 + ... + 863363.

It is an arithmetic number, because the mean of its divisors is an integer number (54361692).

Almost surely, 2^828368160 is an apocalyptic number.

828368160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828368160 is an abundant number, since it is smaller than the sum of its proper divisors (1780993056).

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

828368160 is a wasteful number, since it uses less digits than its factorization.

828368160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725785 (or 1725777 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 828368160 is about 28781.3856511461. The cubic root of 828368160 is about 939.1633418570.

The spelling of 828368160 in words is "eight hundred twenty-eight million, three hundred sixty-eight thousand, one hundred sixty".