1932828240 has 160 divisors (see below), whose sum is σ = 6902415360. Its totient is φ = 438262272.

The previous prime is 1932828239. The next prime is 1932828251. The reversal of 1932828240 is 428282391.

It is a congruent number.

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, 208831 + ... + 217889.

It is an arithmetic number, because the mean of its divisors is an integer number (43140096).

Almost surely, 2^1932828240 is an apocalyptic number.

1932828240 is a gapful number since it is divisible by the number (10) 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 1932828240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3451207680).

1932828240 is an abundant number, since it is smaller than the sum of its proper divisors (4969587120).

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

1932828240 is a wasteful number, since it uses less digits than its factorization.

1932828240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9209 (or 9203 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 1932828240 is about 43963.9424983702. The cubic root of 1932828240 is about 1245.6549383853.

The spelling of 1932828240 in words is "one billion, nine hundred thirty-two million, eight hundred twenty-eight thousand, two hundred forty".