1964882928 has 80 divisors (see below), whose sum is σ = 5224665600. Its totient is φ = 635851008.

The previous prime is 1964882923. The next prime is 1964882947. The reversal of 1964882928 is 8292884691.

It is a Cunningham number, because it is equal to 44327²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1964882923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1062901 + ... + 1064747.

It is an arithmetic number, because the mean of its divisors is an integer number (65308320).

Almost surely, 2^1964882928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1964882928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612332800).

1964882928 is an abundant number, since it is smaller than the sum of its proper divisors (3259782672).

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

1964882928 is a wasteful number, since it uses less digits than its factorization.

1964882928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2488 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 57.

The square root of 1964882928 is about 44326.9999887202. Note that the first 4 decimals coincide. The cubic root of 1964882928 is about 1252.5033412527.

The spelling of 1964882928 in words is "one billion, nine hundred sixty-four million, eight hundred eighty-two thousand, nine hundred twenty-eight".