1528160256 has 420 divisors, whose sum is σ = 5423690448. Its totient is φ = 427327488.

The previous prime is 1528160233. The next prime is 1528160267. The reversal of 1528160256 is 6520618251.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1528160256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32514025 + ... + 32514071.

Almost surely, 2^1528160256 is an apocalyptic number.

1528160256 is a gapful number since it is divisible by the number (16) 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 1528160256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711845224).

1528160256 is an abundant number, since it is smaller than the sum of its proper divisors (3895530192).

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

1528160256 is an frugal number, since it uses more digits than its factorization.

1528160256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1528160256 is about 39091.6903702053. The cubic root of 1528160256 is about 1151.8333092149.

The spelling of 1528160256 in words is "one billion, five hundred twenty-eight million, one hundred sixty thousand, two hundred fifty-six".