883428877900800 has 11088 divisors, whose sum is σ = 4593188492335872. Its totient is φ = 162934397337600.

The previous prime is 883428877900787. The next prime is 883428877900873. The reversal of 883428877900800 is 8009778824388.

It is a tau number, because it is divible by the number of its divisors (11088).

It is a super-2 number, since 2×883428877900800² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 20544857625579 + ... + 20544857625621.

Almost surely, 2^{883428877900800} is an apocalyptic number.

883428877900800 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 883428877900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296594246167936).

883428877900800 is an abundant number, since it is smaller than the sum of its proper divisors (3709759614435072).

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

883428877900800 is a wasteful number, since it uses less digits than its factorization.

883428877900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 72.

The spelling of 883428877900800 in words is "eight hundred eighty-three trillion, four hundred twenty-eight billion, eight hundred seventy-seven million, nine hundred thousand, eight hundred".