828823200 has 144 divisors (see below), whose sum is σ = 2763948096. Its totient is φ = 215603200.

The previous prime is 828823189. The next prime is 828823211. The reversal of 828823200 is 2328828.

It is an interprime number because it is at equal distance from previous prime (828823189) and next prime (828823211).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94189 + ... + 102611.

It is an arithmetic number, because the mean of its divisors is an integer number (19194084).

Almost surely, 2^828823200 is an apocalyptic number.

828823200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828823200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381974048).

828823200 is an abundant number, since it is smaller than the sum of its proper divisors (1935124896).

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

828823200 is a wasteful number, since it uses less digits than its factorization.

828823200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8487 (or 8474 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 828823200 is about 28789.2896751552. The cubic root of 828823200 is about 939.3352777504.

The spelling of 828823200 in words is "eight hundred twenty-eight million, eight hundred twenty-three thousand, two hundred".