128319633 has 40 divisors (see below), whose sum is σ = 213145856. Its totient is φ = 76399200.

The previous prime is 128319623. The next prime is 128319637. The reversal of 128319633 is 336913821.

128319633 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 19 + 633 = 666.

It is not a de Polignac number, because 128319633 - 2⁵ = 128319601 is a prime.

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

It is a Duffinian number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (128319637) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30678 + ... + 34608.

Almost surely, 2^128319633 is an apocalyptic number.

128319633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

128319633 is a deficient number, since it is larger than the sum of its proper divisors (84826223).

128319633 is a wasteful number, since it uses less digits than its factorization.

128319633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3987 (or 3978 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 128319633 is about 11327.8256077678. The cubic root of 128319633 is about 504.3875632918.

The spelling of 128319633 in words is "one hundred twenty-eight million, three hundred nineteen thousand, six hundred thirty-three".