828361000 has 32 divisors (see below), whose sum is σ = 1938367080. Its totient is φ = 331344000.

The previous prime is 828360991. The next prime is 828361019. The reversal of 828361000 is 163828.

828361000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 140138244 + 688222756 = 11838^2 + 26234^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 828361000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 413181 + ... + 415180.

Almost surely, 2^828361000 is an apocalyptic number.

It is an amenable number.

828361000 is an abundant number, since it is smaller than the sum of its proper divisors (1110006080).

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

828361000 is a wasteful number, since it uses less digits than its factorization.

828361000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828382 (or 828368 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 828361000 is about 28781.2612649272. The cubic root of 828361000 is about 939.1606359632.

The spelling of 828361000 in words is "eight hundred twenty-eight million, three hundred sixty-one thousand".