2928752640 has 576 divisors, whose sum is σ = 11590750080. Its totient is φ = 703365120.

The previous prime is 2928752623. The next prime is 2928752681. The reversal of 2928752640 is 462578292.

2928752640 is a `hidden beast` number, since 2 + 9 + 2 + 87 + 526 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27371467 + ... + 27371573.

It is an arithmetic number, because the mean of its divisors is an integer number (20122830).

Almost surely, 2^2928752640 is an apocalyptic number.

2928752640 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 2928752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5795375040).

2928752640 is an abundant number, since it is smaller than the sum of its proper divisors (8661997440).

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

2928752640 is a wasteful number, since it uses less digits than its factorization.

2928752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2928752640 is about 54117.9511807311. The cubic root of 2928752640 is about 1430.7405882363.

The spelling of 2928752640 in words is "two billion, nine hundred twenty-eight million, seven hundred fifty-two thousand, six hundred forty".