28840712400 has 180 divisors, whose sum is σ = 100157880160. Its totient is φ = 7685280000.

The previous prime is 28840712387. The next prime is 28840712423. The reversal of 28840712400 is 421704882.

28840712400 is a `hidden beast` number, since 2 + 8 + 8 + 407 + 1 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8101821 + ... + 8105379.

Almost surely, 2^28840712400 is an apocalyptic number.

28840712400 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 28840712400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50078940080).

28840712400 is an abundant number, since it is smaller than the sum of its proper divisors (71317167760).

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

28840712400 is a wasteful number, since it uses less digits than its factorization.

28840712400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5834 (or 5820 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 28840712400 in words is "twenty-eight billion, eight hundred forty million, seven hundred twelve thousand, four hundred".