2928000321 has 27 divisors (see below), whose sum is σ = 4496990953. Its totient is φ = 1835445120.

The previous prime is 2928000307. The next prime is 2928000329. The reversal of 2928000321 is 1230008292.

It is a happy number.

The square root of 2928000321 is 54111.

It is a perfect power (a square), and thus also a powerful number.

2928000321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 569538225 + 2358462096 = 23865^2 + 48564^2 .

It is not a de Polignac number, because 2928000321 - 2³¹ = 780516673 is a prime.

It is a super-2 number, since 2×2928000321² = 17146371759552206082, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2928000329) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2759131 + ... + 2760191.

Almost surely, 2^2928000321 is an apocalyptic number.

2928000321 is the 54111-st square number.

2928000321 is the 27056-th centered octagonal number.

It is an amenable number.

2928000321 is a deficient number, since it is larger than the sum of its proper divisors (1568990632).

2928000321 is an equidigital number, since it uses as much as digits as its factorization.

2928000321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 2928000321 is about 1430.6180712882.

The spelling of 2928000321 in words is "two billion, nine hundred twenty-eight million, three hundred twenty-one", and thus it is an aban number.