28533695710968 has 576 divisors, whose sum is σ = 99758167142400. Its totient is φ = 7315212280320.

The previous prime is 28533695710967. The next prime is 28533695710973. The reversal of 28533695710968 is 86901759633582.

28533695710968 is a `hidden beast` number, since 2 + 8 + 53 + 369 + 57 + 109 + 68 = 666.

It is a super-2 number, since 2×28533695710968² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 28533695710896 and 28533695710905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28533695710967) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97519546 + ... + 97811702.

It is an arithmetic number, because the mean of its divisors is an integer number (173191262400).

Almost surely, 2^{28533695710968} is an apocalyptic number.

28533695710968 is a gapful number since it is divisible by the number (28) 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 28533695710968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49879083571200).

28533695710968 is an abundant number, since it is smaller than the sum of its proper divisors (71224471431432).

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

28533695710968 is a wasteful number, since it uses less digits than its factorization.

28533695710968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292280 (or 292266 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 28533695710968 in words is "twenty-eight trillion, five hundred thirty-three billion, six hundred ninety-five million, seven hundred ten thousand, nine hundred sixty-eight".