933424128 has 528 divisors, whose sum is σ = 3528372960. Its totient is φ = 241532928.

The previous prime is 933424109. The next prime is 933424139. The reversal of 933424128 is 821424339.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 933424092 and 933424101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17611750 + ... + 17611802.

Almost surely, 2^933424128 is an apocalyptic number.

933424128 is a gapful number since it is divisible by the number (98) 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 933424128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764186480).

933424128 is an abundant number, since it is smaller than the sum of its proper divisors (2594948832).

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

933424128 is a wasteful number, since it uses less digits than its factorization.

933424128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 78 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 933424128 is about 30551.9905734471. The cubic root of 933424128 is about 977.2964943314.

The spelling of 933424128 in words is "nine hundred thirty-three million, four hundred twenty-four thousand, one hundred twenty-eight".