28942114406400 has 900 divisors, whose sum is σ = 115467613474752. Its totient is φ = 7124106608640.

The previous prime is 28942114406399. The next prime is 28942114406473. The reversal of 28942114406400 is 460441124982.

28942114406400 is a `hidden beast` number, since 2 + 8 + 94 + 2 + 114 + 40 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 431275249 + ... + 431342351.

Almost surely, 2^{28942114406400} is an apocalyptic number.

28942114406400 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 28942114406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57733806737376).

28942114406400 is an abundant number, since it is smaller than the sum of its proper divisors (86525499068352).

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

28942114406400 is an equidigital number, since it uses as much as digits as its factorization.

28942114406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67166 (or 67126 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 28942114406400 in words is "twenty-eight trillion, nine hundred forty-two billion, one hundred fourteen million, four hundred six thousand, four hundred".