828700330320 has 480 divisors, whose sum is σ = 2917013299200. Its totient is φ = 210595507200.

The previous prime is 828700330319. The next prime is 828700330357. The reversal of 828700330320 is 23033007828.

It is a super-2 number, since 2×828700330320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 406423861 + ... + 406425899.

It is an arithmetic number, because the mean of its divisors is an integer number (6077111040).

Almost surely, 2^828700330320 is an apocalyptic number.

828700330320 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 828700330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458506649600).

828700330320 is an abundant number, since it is smaller than the sum of its proper divisors (2088312968880).

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

828700330320 is a wasteful number, since it uses less digits than its factorization.

828700330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 828700330320 in words is "eight hundred twenty-eight billion, seven hundred million, three hundred thirty thousand, three hundred twenty".