828162720 has 648 divisors, whose sum is σ = 3650797332. Its totient is φ = 170311680.

The previous prime is 828162719. The next prime is 828162787. The reversal of 828162720 is 27261828.

It is a happy number.

828162720 is a `hidden beast` number, since 8 + 2 + 8 + 1 + 627 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 820478736 + 7683984 = 28644^2 + 2772^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8537712 + ... + 8537808.

Almost surely, 2^828162720 is an apocalyptic number.

828162720 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 828162720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825398666).

828162720 is an abundant number, since it is smaller than the sum of its proper divisors (2822634612).

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

828162720 is a wasteful number, since it uses less digits than its factorization.

828162720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 828162720 is about 28777.8164564305. The cubic root of 828162720 is about 939.0856961600.

The spelling of 828162720 in words is "eight hundred twenty-eight million, one hundred sixty-two thousand, seven hundred twenty".