1933428224 has 160 divisors (see below), whose sum is σ = 5036302656. Its totient is φ = 719585280.

The previous prime is 1933428223. The next prime is 1933428227. The reversal of 1933428224 is 4228243391.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1933428223) 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, 790844 + ... + 793284.

Almost surely, 2^1933428224 is an apocalyptic number.

1933428224 is a gapful number since it is divisible by the number (14) 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 1933428224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518151328).

1933428224 is an abundant number, since it is smaller than the sum of its proper divisors (3102874432).

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

1933428224 is a wasteful number, since it uses less digits than its factorization.

1933428224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 2480 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The square root of 1933428224 is about 43970.7655607678. The cubic root of 1933428224 is about 1245.7838161438.

The spelling of 1933428224 in words is "one billion, nine hundred thirty-three million, four hundred twenty-eight thousand, two hundred twenty-four".