1928996720 has 120 divisors (see below), whose sum is σ = 5284036800. Its totient is φ = 652893696.

The previous prime is 1928996689. The next prime is 1928996737. The reversal of 1928996720 is 276998291.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 306566 + ... + 312794.

It is an arithmetic number, because the mean of its divisors is an integer number (44033640).

Almost surely, 2^1928996720 is an apocalyptic number.

1928996720 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 1928996720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642018400).

1928996720 is an abundant number, since it is smaller than the sum of its proper divisors (3355040080).

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

1928996720 is a wasteful number, since it uses less digits than its factorization.

1928996720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6335 (or 6322 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 53.

The square root of 1928996720 is about 43920.3451716855. The cubic root of 1928996720 is about 1244.8312906127.

The spelling of 1928996720 in words is "one billion, nine hundred twenty-eight million, nine hundred ninety-six thousand, seven hundred twenty".