828739010880 has 896 divisors, whose sum is σ = 3332922163200. Its totient is φ = 192026419200.

The previous prime is 828739010857. The next prime is 828739010893. The reversal of 828739010880 is 88010937828.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 244536226 + ... + 244539614.

It is an arithmetic number, because the mean of its divisors is an integer number (3719779200).

Almost surely, 2^828739010880 is an apocalyptic number.

828739010880 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 828739010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666461081600).

828739010880 is an abundant number, since it is smaller than the sum of its proper divisors (2504183152320).

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

828739010880 is a wasteful number, since it uses less digits than its factorization.

828739010880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 828739010880 in words is "eight hundred twenty-eight billion, seven hundred thirty-nine million, ten thousand, eight hundred eighty".