28149087859200 has 3600 divisors, whose sum is σ = 140032713341664. Its totient is φ = 5503234867200.

The previous prime is 28149087859187. The next prime is 28149087859229. The reversal of 28149087859200 is 295878094182.

28149087859200 is a `hidden beast` number, since 2 + 8 + 1 + 490 + 8 + 78 + 59 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a super-2 number, since 2×28149087859200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 9500196919 + ... + 9500199881.

Almost surely, 2^{28149087859200} is an apocalyptic number.

28149087859200 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 28149087859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70016356670832).

28149087859200 is an abundant number, since it is smaller than the sum of its proper divisors (111883625482464).

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

28149087859200 is a wasteful number, since it uses less digits than its factorization.

28149087859200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 28149087859200 in words is "twenty-eight trillion, one hundred forty-nine billion, eighty-seven million, eight hundred fifty-nine thousand, two hundred".