828010728 has 64 divisors (see below), whose sum is σ = 2421096000. Its totient is φ = 261475776.

The previous prime is 828010693. The next prime is 828010759. The reversal of 828010728 is 827010828.

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

It is a junction number, because it is equal to n+sod(n) for n = 828010692 and 828010701.

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, 96775 + ... + 104982.

It is an arithmetic number, because the mean of its divisors is an integer number (37829625).

Almost surely, 2^828010728 is an apocalyptic number.

It is an amenable number.

828010728 is an abundant number, since it is smaller than the sum of its proper divisors (1593085272).

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

828010728 is a wasteful number, since it uses less digits than its factorization.

828010728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201791 (or 201781 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 828010728 is about 28775.1755511587. The cubic root of 828010728 is about 939.0282427786.

The spelling of 828010728 in words is "eight hundred twenty-eight million, ten thousand, seven hundred twenty-eight".