7688627828 has 72 divisors (see below), whose sum is σ = 16194059784. Its totient is φ = 3182592000.

The previous prime is 7688627767. The next prime is 7688627839. The reversal of 7688627828 is 8287268867.

It can be written as a sum of positive squares in 4 ways, for example, as 3297975184 + 4390652644 = 57428^2 + 66262^2 .

It is a super-2 number, since 2×7688627828² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 806900 + ... + 816372.

It is an arithmetic number, because the mean of its divisors is an integer number (224917497).

Almost surely, 2^7688627828 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 7688627828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8097029892).

7688627828 is an abundant number, since it is smaller than the sum of its proper divisors (8505431956).

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

7688627828 is a wasteful number, since it uses less digits than its factorization.

7688627828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9633 (or 9624 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 62.

The square root of 7688627828 is about 87684.8209669154. The cubic root of 7688627828 is about 1973.7082042744.

The spelling of 7688627828 in words is "seven billion, six hundred eighty-eight million, six hundred twenty-seven thousand, eight hundred twenty-eight".