28511475148800 has 3456 divisors, whose sum is σ = 130121671680000. Its totient is φ = 5819085619200.

The previous prime is 28511475148787. The next prime is 28511475148817. The reversal of 28511475148800 is 884157411582.

28511475148800 is a `hidden beast` number, since 2 + 8 + 5 + 1 + 1 + 47 + 514 + 8 + 80 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 81694771026 + ... + 81694771374.

Almost surely, 2^{28511475148800} is an apocalyptic number.

28511475148800 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 28511475148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65060835840000).

28511475148800 is an abundant number, since it is smaller than the sum of its proper divisors (101610196531200).

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

28511475148800 is a wasteful number, since it uses less digits than its factorization.

28511475148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 2867200, while the sum is 54.

The spelling of 28511475148800 in words is "twenty-eight trillion, five hundred eleven billion, four hundred seventy-five million, one hundred forty-eight thousand, eight hundred".