1988128800 has 504 divisors, whose sum is σ = 8333591616. Its totient is φ = 453496320.

The previous prime is 1988128787. The next prime is 1988128823. The reversal of 1988128800 is 88218891.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×1988128800² = 7905312250778880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4082157 + ... + 4082643.

It is an arithmetic number, because the mean of its divisors is an integer number (16534904).

Almost surely, 2^1988128800 is an apocalyptic number.

1988128800 is a gapful number since it is divisible by the number (10) 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 1988128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166795808).

1988128800 is an abundant number, since it is smaller than the sum of its proper divisors (6345462816).

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

1988128800 is an equidigital number, since it uses as much as digits as its factorization.

1988128800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The square root of 1988128800 is about 44588.4379632209. The cubic root of 1988128800 is about 1257.4233056923.

The spelling of 1988128800 in words is "one billion, nine hundred eighty-eight million, one hundred twenty-eight thousand, eight hundred".