8262112628 has 48 divisors (see below), whose sum is σ = 18075007104. Its totient is φ = 3210330240.

The previous prime is 8262112619. The next prime is 8262112667.

8262112628 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8262112591 and 8262112600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78926 + ... + 150842.

It is an arithmetic number, because the mean of its divisors is an integer number (376562648).

Almost surely, 2^8262112628 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 8262112628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9037503552).

8262112628 is an abundant number, since it is smaller than the sum of its proper divisors (9812894476).

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

8262112628 is a wasteful number, since it uses less digits than its factorization.

8262112628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72312 (or 72310 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

The square root of 8262112628 is about 90896.1639894666. The cubic root of 8262112628 is about 2021.6084163807.

The spelling of 8262112628 in words is "eight billion, two hundred sixty-two million, one hundred twelve thousand, six hundred twenty-eight".