2927651328 has 480 divisors, whose sum is σ = 10800915840. Its totient is φ = 743178240.

The previous prime is 2927651327. The next prime is 2927651329. The reversal of 2927651328 is 8231567292.

2927651328 is a `hidden beast` number, since 2 + 9 + 276 + 51 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (2927651327) and next prime (2927651329).

It is a super-2 number, since 2×2927651328² = 17142284596680327168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2927651327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10418548 + ... + 10418828.

It is an arithmetic number, because the mean of its divisors is an integer number (22501908).

Almost surely, 2^2927651328 is an apocalyptic number.

2927651328 is a gapful number since it is divisible by the number (28) 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 2927651328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400457920).

2927651328 is an abundant number, since it is smaller than the sum of its proper divisors (7873264512).

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

2927651328 is a wasteful number, since it uses less digits than its factorization.

2927651328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 329 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 2927651328 is about 54107.7751159665. The cubic root of 2927651328 is about 1430.5612298179.

The spelling of 2927651328 in words is "two billion, nine hundred twenty-seven million, six hundred fifty-one thousand, three hundred twenty-eight".