828020624 has 20 divisors (see below), whose sum is σ = 1620177180. Its totient is φ = 409910400.

The previous prime is 828020623. The next prime is 828020647. The reversal of 828020624 is 426020828.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 443860624 + 384160000 = 21068^2 + 19600^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (828020621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 254579 + ... + 257810.

It is an arithmetic number, because the mean of its divisors is an integer number (81008859).

Almost surely, 2^828020624 is an apocalyptic number.

It is an amenable number.

828020624 is a deficient number, since it is larger than the sum of its proper divisors (792156556).

828020624 is a wasteful number, since it uses less digits than its factorization.

828020624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512498 (or 512492 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 828020624 is about 28775.3475044177. The cubic root of 828020624 is about 939.0319837070.

The spelling of 828020624 in words is "eight hundred twenty-eight million, twenty thousand, six hundred twenty-four".