7981528032 has 36 divisors (see below), whose sum is σ = 22697471160. Its totient is φ = 2660509248.

The previous prime is 7981528031. The next prime is 7981528127. The reversal of 7981528032 is 2308251897.

It is a happy number.

7981528032 is a `hidden beast` number, since 7 + 98 + 1 + 528 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7981528031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13856532 + ... + 13857107.

It is an arithmetic number, because the mean of its divisors is an integer number (630485310).

Almost surely, 2^7981528032 is an apocalyptic number.

7981528032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7981528032 is an abundant number, since it is smaller than the sum of its proper divisors (14715943128).

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

7981528032 is a wasteful number, since it uses less digits than its factorization.

7981528032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27713655 (or 27713644 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 7981528032 is about 89339.3979831966. The cubic root of 7981528032 is about 1998.4594830417.

The spelling of 7981528032 in words is "seven billion, nine hundred eighty-one million, five hundred twenty-eight thousand, thirty-two".