828507312 has 160 divisors (see below), whose sum is σ = 2521068800. Its totient is φ = 259780608.

The previous prime is 828507301. The next prime is 828507349. The reversal of 828507312 is 213705828.

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 31 ways as a sum of consecutive naturals, for example, 1583883 + ... + 1584405.

It is an arithmetic number, because the mean of its divisors is an integer number (15756680).

Almost surely, 2^828507312 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 828507312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260534400).

828507312 is an abundant number, since it is smaller than the sum of its proper divisors (1692561488).

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

828507312 is a wasteful number, since it uses less digits than its factorization.

828507312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 828507312 is about 28783.8029454066. The cubic root of 828507312 is about 939.2159268253.

The spelling of 828507312 in words is "eight hundred twenty-eight million, five hundred seven thousand, three hundred twelve".