28571140800 has 336 divisors, whose sum is σ = 104534594080. Its totient is φ = 7591034880.

The previous prime is 28571140789. The next prime is 28571140823. The reversal of 28571140800 is 804117582.

28571140800 is a `hidden beast` number, since 2 + 8 + 571 + 1 + 4 + 0 + 80 + 0 = 666.

It is a super-2 number, since 2×28571140800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13520544 + ... + 13522656.

Almost surely, 2^28571140800 is an apocalyptic number.

28571140800 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 28571140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52267297040).

28571140800 is an abundant number, since it is smaller than the sum of its proper divisors (75963453280).

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

28571140800 is a wasteful number, since it uses less digits than its factorization.

28571140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 28571140800 in words is "twenty-eight billion, five hundred seventy-one million, one hundred forty thousand, eight hundred".