988548517728 has 336 divisors, whose sum is σ = 3052447856640. Its totient is φ = 314402280192.

The previous prime is 988548517717. The next prime is 988548517729. The reversal of 988548517728 is 827715845889.

988548517728 is a `hidden beast` number, since 9 + 8 + 8 + 548 + 5 + 1 + 7 + 72 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988548517729) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 237686913 + ... + 237691071.

It is an arithmetic number, because the mean of its divisors is an integer number (9084666240).

Almost surely, 2^988548517728 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 988548517728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526223928320).

988548517728 is an abundant number, since it is smaller than the sum of its proper divisors (2063899338912).

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

988548517728 is a wasteful number, since it uses less digits than its factorization.

988548517728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4653 (or 4630 counting only the distinct ones).

The product of its digits is 361267200, while the sum is 72.

The spelling of 988548517728 in words is "nine hundred eighty-eight billion, five hundred forty-eight million, five hundred seventeen thousand, seven hundred twenty-eight".