28114084454400 has 3024 divisors, whose sum is σ = 123949859186400. Its totient is φ = 6320730931200.

The previous prime is 28114084454381. The next prime is 28114084454411. The reversal of 28114084454400 is 445448041182.

It is a happy number.

28114084454400 is a `hidden beast` number, since 2 + 8 + 114 + 0 + 84 + 4 + 54 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 460886630370 + ... + 460886630430.

Almost surely, 2^{28114084454400} is an apocalyptic number.

28114084454400 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 28114084454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61974929593200).

28114084454400 is an abundant number, since it is smaller than the sum of its proper divisors (95835774732000).

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

28114084454400 is an frugal number, since it uses more digits than its factorization.

28114084454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 28114084454400 in words is "twenty-eight trillion, one hundred fourteen billion, eighty-four million, four hundred fifty-four thousand, four hundred".