828092160 has 540 divisors, whose sum is σ = 3467977128. Its totient is φ = 188116992.

The previous prime is 828092131. The next prime is 828092171. The reversal of 828092160 is 61290828.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5080239 + ... + 5080401.

Almost surely, 2^828092160 is an apocalyptic number.

828092160 is a gapful number since it is divisible by the number (80) 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 828092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733988564).

828092160 is an abundant number, since it is smaller than the sum of its proper divisors (2639884968).

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

828092160 is a wasteful number, since it uses less digits than its factorization.

828092160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 828092160 is about 28776.5904860183. The cubic root of 828092160 is about 939.0590251661.

The spelling of 828092160 in words is "eight hundred twenty-eight million, ninety-two thousand, one hundred sixty".