28912064400 has 240 divisors, whose sum is σ = 108322382400. Its totient is φ = 7304048640.

The previous prime is 28912064393. The next prime is 28912064411. The reversal of 28912064400 is 446021982.

28912064400 is a `hidden beast` number, since 2 + 8 + 9 + 1 + 2 + 0 + 644 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134752 + ... + 275648.

It is an arithmetic number, because the mean of its divisors is an integer number (451343260).

Almost surely, 2^28912064400 is an apocalyptic number.

28912064400 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 28912064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54161191200).

28912064400 is an abundant number, since it is smaller than the sum of its proper divisors (79410318000).

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

28912064400 is a wasteful number, since it uses less digits than its factorization.

28912064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140943 (or 140926 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 28912064400 in words is "twenty-eight billion, nine hundred twelve million, sixty-four thousand, four hundred".