7825277528328 has 64 divisors (see below), whose sum is σ = 21068656640640. Its totient is φ = 2407708929024.

The previous prime is 7825277528293. The next prime is 7825277528329. The reversal of 7825277528328 is 8238257725287.

It is a super-2 number, since 2×7825277528328² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (7825277528329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11177125 + ... + 11856587.

It is an arithmetic number, because the mean of its divisors is an integer number (329197760010).

Almost surely, 2^{7825277528328} is an apocalyptic number.

7825277528328 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

7825277528328 is an abundant number, since it is smaller than the sum of its proper divisors (13243379112312).

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

7825277528328 is a wasteful number, since it uses less digits than its factorization.

7825277528328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716398 (or 716394 counting only the distinct ones).

The product of its digits is 210739200, while the sum is 66.

The spelling of 7825277528328 in words is "seven trillion, eight hundred twenty-five billion, two hundred seventy-seven million, five hundred twenty-eight thousand, three hundred twenty-eight".