2928642864 has 160 divisors (see below), whose sum is σ = 8794913280. Its totient is φ = 822528000.

The previous prime is 2928642863. The next prime is 2928642911. The reversal of 2928642864 is 4682468292.

2928642864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2928642863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7160292 + ... + 7160700.

It is an arithmetic number, because the mean of its divisors is an integer number (54968208).

Almost surely, 2^2928642864 is an apocalyptic number.

2928642864 is a gapful number since it is divisible by the number (24) 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 2928642864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397456640).

2928642864 is an abundant number, since it is smaller than the sum of its proper divisors (5866270416).

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

2928642864 is a wasteful number, since it uses less digits than its factorization.

2928642864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 733 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 51.

The square root of 2928642864 is about 54116.9369421441. The cubic root of 2928642864 is about 1430.7227122597.

The spelling of 2928642864 in words is "two billion, nine hundred twenty-eight million, six hundred forty-two thousand, eight hundred sixty-four".