28574221291200 has 1008 divisors, whose sum is σ = 111013289028096. Its totient is φ = 6928594329600.

The previous prime is 28574221291151. The next prime is 28574221291219. The reversal of 28574221291200 is 219212247582.

28574221291200 is a `hidden beast` number, since 2 + 8 + 5 + 7 + 422 + 12 + 9 + 1 + 200 = 666.

It is a super-2 number, since 2×28574221291200² (a number of 28 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 5702296695 + ... + 5702301705.

Almost surely, 2^{28574221291200} is an apocalyptic number.

28574221291200 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 28574221291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55506644514048).

28574221291200 is an abundant number, since it is smaller than the sum of its proper divisors (82439067736896).

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

28574221291200 is a wasteful number, since it uses less digits than its factorization.

28574221291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5502 (or 5484 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 28574221291200 in words is "twenty-eight trillion, five hundred seventy-four billion, two hundred twenty-one million, two hundred ninety-one thousand, two hundred".