28874540620800 has 3168 divisors, whose sum is σ = 130338769213440. Its totient is φ = 6233407488000.

The previous prime is 28874540620711. The next prime is 28874540620817. The reversal of 28874540620800 is 802604547882.

28874540620800 is a `hidden beast` number, since 2 + 8 + 8 + 7 + 4 + 5 + 4 + 0 + 620 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 78677222217 + ... + 78677222583.

Almost surely, 2^{28874540620800} is an apocalyptic number.

28874540620800 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 28874540620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65169384606720).

28874540620800 is an abundant number, since it is smaller than the sum of its proper divisors (101464228592640).

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

28874540620800 is a wasteful number, since it uses less digits than its factorization.

28874540620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 28874540620800 in words is "twenty-eight trillion, eight hundred seventy-four billion, five hundred forty million, six hundred twenty thousand, eight hundred".