988362800 has 60 divisors (see below), whose sum is σ = 2401308360. Its totient is φ = 390888960.

The previous prime is 988362797. The next prime is 988362821. The reversal of 988362800 is 8263889.

It is a super-2 number, since 2×988362800² = 1953722048847680000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21719 + ... + 49481.

It is an arithmetic number, because the mean of its divisors is an integer number (40021806).

Almost surely, 2^988362800 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 988362800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200654180).

988362800 is an abundant number, since it is smaller than the sum of its proper divisors (1412945560).

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

988362800 is a wasteful number, since it uses less digits than its factorization.

988362800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27870 (or 27859 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 988362800 is about 31438.2378641043. The cubic root of 988362800 is about 996.1057881324.

The spelling of 988362800 in words is "nine hundred eighty-eight million, three hundred sixty-two thousand, eight hundred".