1932276864 has 256 divisors, whose sum is σ = 6107270400. Its totient is φ = 529858560.

The previous prime is 1932276833. The next prime is 1932276869. The reversal of 1932276864 is 4686722391.

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

It is not an unprimeable number, because it can be changed into a prime (1932276869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9808414 + ... + 9808610.

It is an arithmetic number, because the mean of its divisors is an integer number (23856525).

Almost surely, 2^1932276864 is an apocalyptic number.

1932276864 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 1932276864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053635200).

1932276864 is an abundant number, since it is smaller than the sum of its proper divisors (4174993536).

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

1932276864 is a wasteful number, since it uses less digits than its factorization.

1932276864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 339 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 1932276864 is about 43957.6712758990. The cubic root of 1932276864 is about 1245.5364782029.

The spelling of 1932276864 in words is "one billion, nine hundred thirty-two million, two hundred seventy-six thousand, eight hundred sixty-four".