988357616928 has 432 divisors, whose sum is σ = 3210871678560. Its totient is φ = 298842255360.

The previous prime is 988357616893. The next prime is 988357616929. The reversal of 988357616928 is 829616753889.

988357616928 is a `hidden beast` number, since 98 + 8 + 357 + 6 + 169 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (988357616929) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 582413776 + ... + 582415472.

It is an arithmetic number, because the mean of its divisors is an integer number (7432573330).

Almost surely, 2^988357616928 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 988357616928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605435839280).

988357616928 is an abundant number, since it is smaller than the sum of its proper divisors (2222514061632).

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

988357616928 is a wasteful number, since it uses less digits than its factorization.

988357616928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2332 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 72.

The spelling of 988357616928 in words is "nine hundred eighty-eight billion, three hundred fifty-seven million, six hundred sixteen thousand, nine hundred twenty-eight".