7208528256 has 640 divisors, whose sum is σ = 24762988800. Its totient is φ = 2069286912.

The previous prime is 7208528209. The next prime is 7208528287. The reversal of 7208528256 is 6528258027.

7208528256 is a `hidden beast` number, since 72 + 0 + 8 + 528 + 2 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 167640171 + ... + 167640213.

It is an arithmetic number, because the mean of its divisors is an integer number (38692170).

Almost surely, 2^7208528256 is an apocalyptic number.

7208528256 is a gapful number since it is divisible by the number (76) 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 7208528256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12381494400).

7208528256 is an abundant number, since it is smaller than the sum of its proper divisors (17554460544).

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

7208528256 is a wasteful number, since it uses less digits than its factorization.

7208528256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 7208528256 is about 84903.0521006165. The cubic root of 7208528256 is about 1931.7408703034.

The spelling of 7208528256 in words is "seven billion, two hundred eight million, five hundred twenty-eight thousand, two hundred fifty-six".