128693880 has 256 divisors, whose sum is σ = 508032000. Its totient is φ = 28353024.

The previous prime is 128693863. The next prime is 128693921. The reversal of 128693880 is 88396821.

It is a super-2 number, since 2×128693880² = 33124229498908800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218947 + ... + 219533.

It is an arithmetic number, because the mean of its divisors is an integer number (1984500).

Almost surely, 2^128693880 is an apocalyptic number.

128693880 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 128693880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016000).

128693880 is an abundant number, since it is smaller than the sum of its proper divisors (379338120).

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

128693880 is a wasteful number, since it uses less digits than its factorization.

128693880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 633 counting only the distinct ones).

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

The square root of 128693880 is about 11344.3325057052. The cubic root of 128693880 is about 504.8774397870.

The spelling of 128693880 in words is "one hundred twenty-eight million, six hundred ninety-three thousand, eight hundred eighty".