88628108647680 has 864 divisors, whose sum is σ = 374191975213056. Its totient is φ = 18926430437376.

The previous prime is 88628108647667. The next prime is 88628108647751. The reversal of 88628108647680 is 8674680182688.

88628108647680 is a `hidden beast` number, since 8 + 8 + 62 + 8 + 10 + 8 + 6 + 476 + 80 = 666.

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 = 88628108647599 and 88628108647608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79197319 + ... + 80308601.

It is an arithmetic number, because the mean of its divisors is an integer number (433092563904).

Almost surely, 2^{88628108647680} is an apocalyptic number.

88628108647680 is a gapful number since it is divisible by the number (80) 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 88628108647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187095987606528).

88628108647680 is an abundant number, since it is smaller than the sum of its proper divisors (285563866565376).

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

88628108647680 is a wasteful number, since it uses less digits than its factorization.

88628108647680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111383 (or 1111366 counting only the distinct ones).

The product of its (nonzero) digits is 396361728, while the sum is 72.

The spelling of 88628108647680 in words is "eighty-eight trillion, six hundred twenty-eight billion, one hundred eight million, six hundred forty-seven thousand, six hundred eighty".