828843840 has 784 divisors, whose sum is σ = 3597981120. Its totient is φ = 179159040.

The previous prime is 828843773. The next prime is 828843871. The reversal of 828843840 is 48348828.

It is a happy number.

It is a super-2 number, since 2×828843840² = 1373964222211891200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 43623351 + ... + 43623369.

Almost surely, 2^828843840 is an apocalyptic number.

828843840 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 828843840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798990560).

828843840 is an abundant number, since it is smaller than the sum of its proper divisors (2769137280).

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

828843840 is a wasteful number, since it uses less digits than its factorization.

828843840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 828843840 is about 28789.6481395657. The cubic root of 828843840 is about 939.3430750382.

The spelling of 828843840 in words is "eight hundred twenty-eight million, eight hundred forty-three thousand, eight hundred forty".