7527270828 has 288 divisors, whose sum is σ = 23221900800. Its totient is φ = 1881129600.

The previous prime is 7527270809. The next prime is 7527270833. The reversal of 7527270828 is 8280727257.

It is a super-2 number, since 2×7527270828² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43510150 + ... + 43510322.

It is an arithmetic number, because the mean of its divisors is an integer number (80631600).

Almost surely, 2^7527270828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7527270828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11610950400).

7527270828 is an abundant number, since it is smaller than the sum of its proper divisors (15694629972).

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

7527270828 is a wasteful number, since it uses less digits than its factorization.

7527270828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 48.

The square root of 7527270828 is about 86759.8457121726. The cubic root of 7527270828 is about 1959.8034326680.

The spelling of 7527270828 in words is "seven billion, five hundred twenty-seven million, two hundred seventy thousand, eight hundred twenty-eight".