7826611728 has 240 divisors, whose sum is σ = 22585982976. Its totient is φ = 2333560320.

The previous prime is 7826611721. The next prime is 7826611733. The reversal of 7826611728 is 8271166287.

It is a super-2 number, since 2×7826611728² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (7826611721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61626801 + ... + 61626927.

Almost surely, 2^7826611728 is an apocalyptic number.

7826611728 is a gapful number since it is divisible by the number (78) 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 7826611728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11292991488).

7826611728 is an abundant number, since it is smaller than the sum of its proper divisors (14759371248).

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

7826611728 is a wasteful number, since it uses less digits than its factorization.

7826611728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 323 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The square root of 7826611728 is about 88468.1396209958. The cubic root of 7826611728 is about 1985.4453148406.

The spelling of 7826611728 in words is "seven billion, eight hundred twenty-six million, six hundred eleven thousand, seven hundred twenty-eight".