828060624 has 80 divisors (see below), whose sum is σ = 2380621440. Its totient is φ = 275581440.

The previous prime is 828060619. The next prime is 828060631. The reversal of 828060624 is 426060828.

828060624 is a `hidden beast` number, since 8 + 28 + 0 + 6 + 0 + 624 = 666.

828060624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 382104 + ... + 384264.

It is an arithmetic number, because the mean of its divisors is an integer number (29757768).

Almost surely, 2^828060624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828060624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190310720).

828060624 is an abundant number, since it is smaller than the sum of its proper divisors (1552560816).

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

828060624 is a wasteful number, since it uses less digits than its factorization.

828060624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 828060624 is about 28776.0425354148. The cubic root of 828060624 is about 939.0471043748.

The spelling of 828060624 in words is "eight hundred twenty-eight million, sixty thousand, six hundred twenty-four".