28588912069248 has 384 divisors, whose sum is σ = 89615270160000. Its totient is φ = 8713679708160.

The previous prime is 28588912069217. The next prime is 28588912069259. The reversal of 28588912069248 is 84296021988582.

28588912069248 is a `hidden beast` number, since 2 + 8 + 588 + 9 + 12 + 0 + 6 + 9 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×28588912069248² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2330168458 + ... + 2330180726.

It is an arithmetic number, because the mean of its divisors is an integer number (233373099375).

Almost surely, 2^{28588912069248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28588912069248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44807635080000).

28588912069248 is an abundant number, since it is smaller than the sum of its proper divisors (61026358090752).

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

28588912069248 is a wasteful number, since it uses less digits than its factorization.

28588912069248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16008 (or 15993 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 72.

The spelling of 28588912069248 in words is "twenty-eight trillion, five hundred eighty-eight billion, nine hundred twelve million, sixty-nine thousand, two hundred forty-eight".