828772 has 12 divisors (see below), whose sum is σ = 1657600. Its totient is φ = 355176.

The previous prime is 828757. The next prime is 828787. The reversal of 828772 is 277828.

It is an interprime number because it is at equal distance from previous prime (828757) and next prime (828787).

828772 is an admirable number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14772 + ... + 14827.

2⁸²⁸⁷⁷² is an apocalyptic number.

It is an amenable number.

828772 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

828772 is a wasteful number, since it uses less digits than its factorization.

828772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29610 (or 29608 counting only the distinct ones).

The product of its digits is 12544, while the sum is 34.

The square root of 828772 is about 910.3691558923. The cubic root of 828772 is about 93.9315935082.

It can be divided in two parts, 828 and 772, that added together give a square (1600 = 40²).

The spelling of 828772 in words is "eight hundred twenty-eight thousand, seven hundred seventy-two".