2958025728 has 264 divisors, whose sum is σ = 9405260832. Its totient is φ = 823689216.

The previous prime is 2958025703. The next prime is 2958025739. The reversal of 2958025728 is 8275208592.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6472476 + ... + 6472932.

It is an arithmetic number, because the mean of its divisors is an integer number (35625988).

Almost surely, 2^2958025728 is an apocalyptic number.

2958025728 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 2958025728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702630416).

2958025728 is an abundant number, since it is smaller than the sum of its proper divisors (6447235104).

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

2958025728 is a wasteful number, since it uses less digits than its factorization.

2958025728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The square root of 2958025728 is about 54387.7350879773. The cubic root of 2958025728 is about 1435.4915785599.

The spelling of 2958025728 in words is "two billion, nine hundred fifty-eight million, twenty-five thousand, seven hundred twenty-eight".