12928892400 has 90 divisors (see below), whose sum is σ = 44866860480. Its totient is φ = 3447703680.

The previous prime is 12928892363. The next prime is 12928892407. The reversal of 12928892400 is 429882921.

It is a happy number.

12928892400 is a `hidden beast` number, since 129 + 288 + 9 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (12928892407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1792080 + ... + 1799279.

It is an arithmetic number, because the mean of its divisors is an integer number (498520672).

Almost surely, 2^12928892400 is an apocalyptic number.

12928892400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12928892400 is an abundant number, since it is smaller than the sum of its proper divisors (31937968080).

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

12928892400 is a wasteful number, since it uses less digits than its factorization.

12928892400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591383 (or 3591369 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 12928892400 in words is "twelve billion, nine hundred twenty-eight million, eight hundred ninety-two thousand, four hundred".