128993040 has 320 divisors, whose sum is σ = 498182400. Its totient is φ = 30412800.

The previous prime is 128993021. The next prime is 128993041. The reversal of 128993040 is 40399821.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 128992986 and 128993004.

It is not an unprimeable number, because it can be changed into a prime (128993041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1449316 + ... + 1449404.

It is an arithmetic number, because the mean of its divisors is an integer number (1556820).

Almost surely, 2^128993040 is an apocalyptic number.

128993040 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 128993040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249091200).

128993040 is an abundant number, since it is smaller than the sum of its proper divisors (369189360).

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

128993040 is a wasteful number, since it uses less digits than its factorization.

128993040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 128993040 is about 11357.5102905522. The cubic root of 128993040 is about 505.2683473974.

The spelling of 128993040 in words is "one hundred twenty-eight million, nine hundred ninety-three thousand, forty".