8828401920 has 576 divisors, whose sum is σ = 32784321024. Its totient is φ = 2005401600.

The previous prime is 8828401891. The next prime is 8828401969. The reversal of 8828401920 is 291048288.

It is a super-2 number, since 2×8828401920² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 63 ways as a sum of consecutive naturals, for example, 85712589 + ... + 85712691.

It is an arithmetic number, because the mean of its divisors is an integer number (56917224).

Almost surely, 2^8828401920 is an apocalyptic number.

8828401920 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 8828401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16392160512).

8828401920 is an abundant number, since it is smaller than the sum of its proper divisors (23955919104).

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

8828401920 is a wasteful number, since it uses less digits than its factorization.

8828401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 8828401920 is about 93959.5759888262. The cubic root of 8828401920 is about 2066.7789621026.

The spelling of 8828401920 in words is "eight billion, eight hundred twenty-eight million, four hundred one thousand, nine hundred twenty".