2928562560 has 1024 divisors, whose sum is σ = 13536460800. Its totient is φ = 580608000.

The previous prime is 2928562547. The next prime is 2928562573. The reversal of 2928562560 is 652658292.

2928562560 is a `hidden beast` number, since 2 + 9 + 2 + 85 + 6 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2928562547) and next prime (2928562573).

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 127 ways as a sum of consecutive naturals, for example, 41247325 + ... + 41247395.

It is an arithmetic number, because the mean of its divisors is an integer number (13219200).

Almost surely, 2^2928562560 is an apocalyptic number.

2928562560 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 2928562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768230400).

2928562560 is an abundant number, since it is smaller than the sum of its proper divisors (10607898240).

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

2928562560 is a wasteful number, since it uses less digits than its factorization.

2928562560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2928562560 is about 54116.1949881918. The cubic root of 2928562560 is about 1430.7096352348.

The spelling of 2928562560 in words is "two billion, nine hundred twenty-eight million, five hundred sixty-two thousand, five hundred sixty".