2928875040 has 864 divisors, whose sum is σ = 13050326016. Its totient is φ = 592220160.

The previous prime is 2928875003. The next prime is 2928875093. The reversal of 2928875040 is 405788292.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28435629 + ... + 28435731.

It is an arithmetic number, because the mean of its divisors is an integer number (15104544).

Almost surely, 2^2928875040 is an apocalyptic number.

2928875040 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 2928875040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6525163008).

2928875040 is an abundant number, since it is smaller than the sum of its proper divisors (10121450976).

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

2928875040 is a wasteful number, since it uses less digits than its factorization.

2928875040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2928875040 is about 54119.0820321262. The cubic root of 2928875040 is about 1430.7605193845.

The spelling of 2928875040 in words is "two billion, nine hundred twenty-eight million, eight hundred seventy-five thousand, forty".