28357640713800 has 1920 divisors, whose sum is σ = 108231894144000. Its totient is φ = 6862176921600.

The previous prime is 28357640713783. The next prime is 28357640713837. The reversal of 28357640713800 is 831704675382.

It is a happy number.

28357640713800 is a `hidden beast` number, since 2 + 8 + 35 + 76 + 407 + 138 + 0 + 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 a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 123832492086 + ... + 123832492314.

It is an arithmetic number, because the mean of its divisors is an integer number (56370778200).

Almost surely, 2^{28357640713800} is an apocalyptic number.

28357640713800 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 28357640713800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54115947072000).

28357640713800 is an abundant number, since it is smaller than the sum of its proper divisors (79874253430200).

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

28357640713800 is a wasteful number, since it uses less digits than its factorization.

28357640713800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 28357640713800 in words is "twenty-eight trillion, three hundred fifty-seven billion, six hundred forty million, seven hundred thirteen thousand, eight hundred".