28798086795264 has 416 divisors, whose sum is σ = 86656649114880. Its totient is φ = 9567570493440.

The previous prime is 28798086795263. The next prime is 28798086795287. The reversal of 28798086795264 is 46259768089782.

28798086795264 is a `hidden beast` number, since 2 + 8 + 7 + 9 + 8 + 0 + 86 + 7 + 9 + 526 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28798086795263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2785917904 + ... + 2785928240.

It is an arithmetic number, because the mean of its divisors is an integer number (208309252680).

Almost surely, 2^{28798086795264} is an apocalyptic number.

28798086795264 is a gapful number since it is divisible by the number (24) 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 28798086795264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43328324557440).

28798086795264 is an abundant number, since it is smaller than the sum of its proper divisors (57858562319616).

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

28798086795264 is an frugal number, since it uses more digits than its factorization.

28798086795264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10693 (or 10653 counting only the distinct ones).

The product of its (nonzero) digits is 5852528640, while the sum is 81.

The spelling of 28798086795264 in words is "twenty-eight trillion, seven hundred ninety-eight billion, eighty-six million, seven hundred ninety-five thousand, two hundred sixty-four".