28125878400 has 384 divisors, whose sum is σ = 106263436800. Its totient is φ = 7257600000.

The previous prime is 28125878309. The next prime is 28125878401. The reversal of 28125878400 is 487852182.

It is a happy number.

28125878400 is a `hidden beast` number, since 28 + 1 + 2 + 587 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (28125878401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2673150 + ... + 2683650.

It is an arithmetic number, because the mean of its divisors is an integer number (276727700).

Almost surely, 2^28125878400 is an apocalyptic number.

28125878400 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 28125878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53131718400).

28125878400 is an abundant number, since it is smaller than the sum of its proper divisors (78137558400).

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

28125878400 is a wasteful number, since it uses less digits than its factorization.

28125878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10565 (or 10542 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 28125878400 in words is "twenty-eight billion, one hundred twenty-five million, eight hundred seventy-eight thousand, four hundred".