2928145624680 has 128 divisors (see below), whose sum is σ = 8948697782400. Its totient is φ = 766324534272.

The previous prime is 2928145624673. The next prime is 2928145624697. The reversal of 2928145624680 is 864265418292.

It is a self number, because there is not a number n which added to its sum of digits gives 2928145624680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1485814 + ... + 2839706.

It is an arithmetic number, because the mean of its divisors is an integer number (69911701425).

Almost surely, 2^{2928145624680} is an apocalyptic number.

2928145624680 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 2928145624680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4474348891200).

2928145624680 is an abundant number, since it is smaller than the sum of its proper divisors (6020552157720).

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

2928145624680 is a wasteful number, since it uses less digits than its factorization.

2928145624680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354243 (or 1354239 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 2928145624680 in words is "two trillion, nine hundred twenty-eight billion, one hundred forty-five million, six hundred twenty-four thousand, six hundred eighty".