1932883680 has 768 divisors, whose sum is σ = 8413009920. Its totient is φ = 360972288.

The previous prime is 1932883657. The next prime is 1932883681. The reversal of 1932883680 is 863882391.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1932883681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14108572 + ... + 14108708.

It is an arithmetic number, because the mean of its divisors is an integer number (10954440).

Almost surely, 2^1932883680 is an apocalyptic number.

1932883680 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 1932883680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206504960).

1932883680 is an abundant number, since it is smaller than the sum of its proper divisors (6480126240).

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

1932883680 is a wasteful number, since it uses less digits than its factorization.

1932883680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 1932883680 is about 43964.5730105502. The cubic root of 1932883680 is about 1245.6668481260. Note that the first 3 decimals are identical.

The spelling of 1932883680 in words is "one billion, nine hundred thirty-two million, eight hundred eighty-three thousand, six hundred eighty".