2256163728 has 80 divisors (see below), whose sum is σ = 7173457536. Its totient is φ = 595031040.

The previous prime is 2256163711. The next prime is 2256163729. The reversal of 2256163728 is 8273616522.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2256163728.

It is not an unprimeable number, because it can be changed into a prime (2256163729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253893 + ... + 262628.

Almost surely, 2^2256163728 is an apocalyptic number.

2256163728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2256163728 is an abundant number, since it is smaller than the sum of its proper divisors (4917293808).

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

2256163728 is a wasteful number, since it uses less digits than its factorization.

2256163728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516552 (or 516546 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 2256163728 is about 47499.0918650031. The cubic root of 2256163728 is about 1311.5661644378.

The spelling of 2256163728 in words is "two billion, two hundred fifty-six million, one hundred sixty-three thousand, seven hundred twenty-eight".