988328295938880 has 4480 divisors, whose sum is σ = 4191651033292800. Its totient is φ = 218840426348544.

The previous prime is 988328295938873. The next prime is 988328295938899. The reversal of 988328295938880 is 88839592823889.

988328295938880 is a `hidden beast` number, since 9 + 8 + 8 + 3 + 2 + 8 + 2 + 9 + 593 + 8 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 2134618349529 + ... + 2134618349991.

It is an arithmetic number, because the mean of its divisors is an integer number (935636391360).

Almost surely, 2^{988328295938880} is an apocalyptic number.

988328295938880 is a gapful number since it is divisible by the number (90) 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 988328295938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095825516646400).

988328295938880 is an abundant number, since it is smaller than the sum of its proper divisors (3203322737353920).

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

988328295938880 is a wasteful number, since it uses less digits than its factorization.

988328295938880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 34398535680, while the sum is 90.

The spelling of 988328295938880 in words is "nine hundred eighty-eight trillion, three hundred twenty-eight billion, two hundred ninety-five million, nine hundred thirty-eight thousand, eight hundred eighty".