1932868224 has 256 divisors, whose sum is σ = 6588384000. Its totient is φ = 546435072.

The previous prime is 1932868169. The next prime is 1932868307. The reversal of 1932868224 is 4228682391.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1932868224.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2636562 + ... + 2637294.

It is an arithmetic number, because the mean of its divisors is an integer number (25735875).

Almost surely, 2^1932868224 is an apocalyptic number.

1932868224 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 1932868224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294192000).

1932868224 is an abundant number, since it is smaller than the sum of its proper divisors (4655515776).

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

1932868224 is a wasteful number, since it uses less digits than its factorization.

1932868224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 854 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1932868224 is about 43964.3972323061. The cubic root of 1932868224 is about 1245.6635278576.

The spelling of 1932868224 in words is "one billion, nine hundred thirty-two million, eight hundred sixty-eight thousand, two hundred twenty-four".