1056728448 has 192 divisors, whose sum is σ = 3217406400. Its totient is φ = 332365824.

The previous prime is 1056728447. The next prime is 1056728459. The reversal of 1056728448 is 8448276501.

1056728448 is a `hidden beast` number, since 1 + 0 + 567 + 2 + 84 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1056728448² = 2233350025624977408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056728441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1569840 + ... + 1570512.

It is an arithmetic number, because the mean of its divisors is an integer number (16757325).

Almost surely, 2^1056728448 is an apocalyptic number.

1056728448 is a gapful number since it is divisible by the number (18) 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 1056728448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608703200).

1056728448 is an abundant number, since it is smaller than the sum of its proper divisors (2160677952).

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

1056728448 is a wasteful number, since it uses less digits than its factorization.

1056728448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 1056728448 is about 32507.3599051046. The cubic root of 1056728448 is about 1018.5627739894.

The spelling of 1056728448 in words is "one billion, fifty-six million, seven hundred twenty-eight thousand, four hundred forty-eight".