28147693529088 has 480 divisors, whose sum is σ = 96143186018880. Its totient is φ = 8037393039360.

The previous prime is 28147693529069. The next prime is 28147693529141. The reversal of 28147693529088 is 88092539674182.

28147693529088 is a `hidden beast` number, since 2 + 8 + 1 + 4 + 7 + 6 + 93 + 529 + 0 + 8 + 8 = 666.

It is a super-2 number, since 2×28147693529088² (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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2242301820 + ... + 2242314372.

It is an arithmetic number, because the mean of its divisors is an integer number (200298304206).

It is a 1-persistent number, because it is pandigital, but 2⋅28147693529088 = 56295387058176 is not.

Almost surely, 2^{28147693529088} is an apocalyptic number.

28147693529088 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 28147693529088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48071593009440).

28147693529088 is an abundant number, since it is smaller than the sum of its proper divisors (67995492489792).

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

28147693529088 is a wasteful number, since it uses less digits than its factorization.

28147693529088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14525 (or 14496 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 28147693529088 in words is "twenty-eight trillion, one hundred forty-seven billion, six hundred ninety-three million, five hundred twenty-nine thousand, eighty-eight".