1988198400 has 192 divisors, whose sum is σ = 6582335400. Its totient is φ = 529530880.

The previous prime is 1988198393. The next prime is 1988198447. The reversal of 1988198400 is 48918891.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1988198400.

It is a congruent number.

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, 2457196 + ... + 2458004.

Almost surely, 2^1988198400 is an apocalyptic number.

1988198400 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 1988198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291167700).

1988198400 is an abundant number, since it is smaller than the sum of its proper divisors (4594137000).

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

1988198400 is an frugal number, since it uses more digits than its factorization.

1988198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 48.

The square root of 1988198400 is about 44589.2184277769. The cubic root of 1988198400 is about 1257.4379787257.

The spelling of 1988198400 in words is "one billion, nine hundred eighty-eight million, one hundred ninety-eight thousand, four hundred".