2928013920 has 336 divisors, whose sum is σ = 11174989392. Its totient is φ = 720368640.

The previous prime is 2928013903. The next prime is 2928013927. The reversal of 2928013920 is 293108292.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2928013927) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1515355 + ... + 1517285.

It is an arithmetic number, because the mean of its divisors is an integer number (33258897).

Almost surely, 2^2928013920 is an apocalyptic number.

2928013920 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 2928013920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5587494696).

2928013920 is an abundant number, since it is smaller than the sum of its proper divisors (8246975472).

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

2928013920 is a wasteful number, since it uses less digits than its factorization.

2928013920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2928013920 is about 54111.1256582230. The cubic root of 2928013920 is about 1430.6202861041.

The spelling of 2928013920 in words is "two billion, nine hundred twenty-eight million, thirteen thousand, nine hundred twenty".