28400362905600 has 4032 divisors, whose sum is σ = 133012344998400. Its totient is φ = 5801886351360.

The previous prime is 28400362905589. The next prime is 28400362905601. The reversal of 28400362905600 is 650926300482.

28400362905600 is a `hidden beast` number, since 2 + 8 + 4 + 0 + 0 + 36 + 2 + 9 + 0 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×28400362905600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28400362905601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 389046067164 + ... + 389046067236.

Almost surely, 2^{28400362905600} is an apocalyptic number.

28400362905600 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 28400362905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66506172499200).

28400362905600 is an abundant number, since it is smaller than the sum of its proper divisors (104611982092800).

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

28400362905600 is a wasteful number, since it uses less digits than its factorization.

28400362905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 28400362905600 in words is "twenty-eight trillion, four hundred billion, three hundred sixty-two million, nine hundred five thousand, six hundred".