128824992 has 72 divisors (see below), whose sum is σ = 379937376. Its totient is φ = 42939072.

The previous prime is 128824981. The next prime is 128825003. The reversal of 128824992 is 299428821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (128824981) and next prime (128825003).

It is a tau number, because it is divible by the number of its divisors (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, 508 + ... + 16059.

It is an arithmetic number, because the mean of its divisors is an integer number (5276908).

Almost surely, 2^128824992 is an apocalyptic number.

128824992 is a gapful number since it is divisible by the number (12) 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 128824992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189968688).

128824992 is an abundant number, since it is smaller than the sum of its proper divisors (251112384).

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

128824992 is an equidigital number, since it uses as much as digits as its factorization.

128824992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16592 (or 16572 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 128824992 is about 11350.1097792048. The cubic root of 128824992 is about 505.0488362404.

The spelling of 128824992 in words is "one hundred twenty-eight million, eight hundred twenty-four thousand, nine hundred ninety-two".