28342036800 has 504 divisors, whose sum is σ = 125595717312. Its totient is φ = 5889024000.

The previous prime is 28342036799. The next prime is 28342036817. The reversal of 28342036800 is 863024382.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1096020 + ... + 1121580.

Almost surely, 2^28342036800 is an apocalyptic number.

28342036800 is a gapful number since it is divisible by the number (20) 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 28342036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62797858656).

28342036800 is an abundant number, since it is smaller than the sum of its proper divisors (97253680512).

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

28342036800 is a wasteful number, since it uses less digits than its factorization.

28342036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25607 (or 25589 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 28342036800 in words is "twenty-eight billion, three hundred forty-two million, thirty-six thousand, eight hundred".