128622624 has 96 divisors (see below), whose sum is σ = 379499904. Its totient is φ = 37847040.

The previous prime is 128622623. The next prime is 128622631. The reversal of 128622624 is 426226821.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (128622623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26464 + ... + 30944.

It is an arithmetic number, because the mean of its divisors is an integer number (3953124).

Almost surely, 2^128622624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128622624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189749952).

128622624 is an abundant number, since it is smaller than the sum of its proper divisors (250877280).

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

128622624 is a wasteful number, since it uses less digits than its factorization.

128622624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4530 (or 4522 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 128622624 is about 11341.1914717987. The cubic root of 128622624 is about 504.7842413935.

The spelling of 128622624 in words is "one hundred twenty-eight million, six hundred twenty-two thousand, six hundred twenty-four".