28314102995640 has 2048 divisors, whose sum is σ = 123390812160000. Its totient is φ = 5603587153920.

The previous prime is 28314102995609. The next prime is 28314102995687. The reversal of 28314102995640 is 4659920141382.

It is a happy number.

28314102995640 is a `hidden beast` number, since 2 + 8 + 31 + 41 + 0 + 2 + 9 + 9 + 564 + 0 = 666.

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 511 ways as a sum of consecutive naturals, for example, 92228348367 + ... + 92228348673.

It is an arithmetic number, because the mean of its divisors is an integer number (60249420000).

Almost surely, 2^{28314102995640} is an apocalyptic number.

28314102995640 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 28314102995640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61695406080000).

28314102995640 is an abundant number, since it is smaller than the sum of its proper divisors (95076709164360).

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

28314102995640 is a wasteful number, since it uses less digits than its factorization.

28314102995640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 28314102995640 in words is "twenty-eight trillion, three hundred fourteen billion, one hundred two million, nine hundred ninety-five thousand, six hundred forty".