28793335680 has 1280 divisors, whose sum is σ = 119431065600. Its totient is φ = 6569164800.

The previous prime is 28793335667. The next prime is 28793335691. The reversal of 28793335680 is 8653339782.

28793335680 is a `hidden beast` number, since 2 + 8 + 79 + 3 + 3 + 3 + 568 + 0 = 666.

It is a super-2 number, since 2×28793335680² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 702276460 + ... + 702276500.

It is an arithmetic number, because the mean of its divisors is an integer number (93305520).

Almost surely, 2^28793335680 is an apocalyptic number.

28793335680 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 28793335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59715532800).

28793335680 is an abundant number, since it is smaller than the sum of its proper divisors (90637729920).

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

28793335680 is a wasteful number, since it uses less digits than its factorization.

28793335680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 28793335680 in words is "twenty-eight billion, seven hundred ninety-three million, three hundred thirty-five thousand, six hundred eighty".