1988928198432 has 72 divisors (see below), whose sum is σ = 6464016651456. Its totient is φ = 568265198976.

The previous prime is 1988928198359. The next prime is 1988928198457. The reversal of 1988928198432 is 2348918298891.

1988928198432 is a `hidden beast` number, since 1 + 9 + 8 + 89 + 28 + 1 + 98 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1988928198432² (a number of 25 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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, 493283748 + ... + 493287779.

It is an arithmetic number, because the mean of its divisors is an integer number (89778009048).

Almost surely, 2^{1988928198432} is an apocalyptic number.

1988928198432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1988928198432 is an abundant number, since it is smaller than the sum of its proper divisors (4475088453024).

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

1988928198432 is a wasteful number, since it uses less digits than its factorization.

1988928198432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986571550 (or 986571539 counting only the distinct ones).

The product of its digits is 143327232, while the sum is 72.

The spelling of 1988928198432 in words is "one trillion, nine hundred eighty-eight billion, nine hundred twenty-eight million, one hundred ninety-eight thousand, four hundred thirty-two".