828672 has 72 divisors (see below), whose sum is σ = 2403744. Its totient is φ = 251904.

The previous prime is 828649. The next prime is 828673. The reversal of 828672 is 276828.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9943 + ... + 10025.

2⁸²⁸⁶⁷² 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 828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201872).

828672 is an abundant number, since it is smaller than the sum of its proper divisors (1575072).

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

828672 is a wasteful number, since it uses less digits than its factorization.

828672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 828672 is about 910.3142314608. The cubic root of 828672 is about 93.9278154136.

It can be divided in two parts, 8 and 28672, that added together give a triangular number (28680 = T₂₃₉).

The spelling of 828672 in words is "eight hundred twenty-eight thousand, six hundred seventy-two".