2928199680 has 768 divisors, whose sum is σ = 12737088000. Its totient is φ = 622854144.

The previous prime is 2928199627. The next prime is 2928199709. The reversal of 2928199680 is 869918292.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32901076 + ... + 32901164.

It is an arithmetic number, because the mean of its divisors is an integer number (16584750).

Almost surely, 2^2928199680 is an apocalyptic number.

2928199680 is a gapful number since it is divisible by the number (20) 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 2928199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368544000).

2928199680 is an abundant number, since it is smaller than the sum of its proper divisors (9808888320).

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

2928199680 is a wasteful number, since it uses less digits than its factorization.

2928199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 2928199680 is about 54112.8420987107. The cubic root of 2928199680 is about 1430.6505394217.

The spelling of 2928199680 in words is "two billion, nine hundred twenty-eight million, one hundred ninety-nine thousand, six hundred eighty".