828956160 has 320 divisors, whose sum is σ = 3005164800. Its totient is φ = 216539136.

The previous prime is 828956153. The next prime is 828956171. The reversal of 828956160 is 61659828.

828956160 is a `hidden beast` number, since 8 + 2 + 89 + 561 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4630951 + ... + 4631129.

It is an arithmetic number, because the mean of its divisors is an integer number (9391140).

Almost surely, 2^828956160 is an apocalyptic number.

828956160 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 828956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502582400).

828956160 is an abundant number, since it is smaller than the sum of its proper divisors (2176208640).

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

828956160 is a wasteful number, since it uses less digits than its factorization.

828956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 828956160 is about 28791.5987746426. The cubic root of 828956160 is about 939.3855045220.

The spelling of 828956160 in words is "eight hundred twenty-eight million, nine hundred fifty-six thousand, one hundred sixty".