4256497728 has 224 divisors, whose sum is σ = 14361688320. Its totient is φ = 1210982400.

The previous prime is 4256497699. The next prime is 4256497733. The reversal of 4256497728 is 8277946524.

4256497728 is a `hidden beast` number, since 4 + 2 + 564 + 9 + 7 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3543528 + ... + 3544728.

It is an arithmetic number, because the mean of its divisors is an integer number (64114680).

Almost surely, 2^4256497728 is an apocalyptic number.

4256497728 is a gapful number since it is divisible by the number (48) 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 4256497728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7180844160).

4256497728 is an abundant number, since it is smaller than the sum of its proper divisors (10105190592).

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

4256497728 is a wasteful number, since it uses less digits than its factorization.

4256497728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1506 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 4256497728 is about 65241.8403173914. The cubic root of 4256497728 is about 1620.6309750596.

The spelling of 4256497728 in words is "four billion, two hundred fifty-six million, four hundred ninety-seven thousand, seven hundred twenty-eight".