2928948120 has 384 divisors, whose sum is σ = 11508134400. Its totient is φ = 649078272.

The previous prime is 2928948089. The next prime is 2928948163. The reversal of 2928948120 is 218498292.

It is a happy number.

2928948120 is a `hidden beast` number, since 2 + 92 + 89 + 481 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10349499 + ... + 10349781.

It is an arithmetic number, because the mean of its divisors is an integer number (29969100).

Almost surely, 2^2928948120 is an apocalyptic number.

2928948120 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 2928948120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5754067200).

2928948120 is an abundant number, since it is smaller than the sum of its proper divisors (8579186280).

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

2928948120 is a wasteful number, since it uses less digits than its factorization.

2928948120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2928948120 is about 54119.7572056638. The cubic root of 2928948120 is about 1430.7724191876.

The spelling of 2928948120 in words is "two billion, nine hundred twenty-eight million, nine hundred forty-eight thousand, one hundred twenty".