8280000828 has 72 divisors (see below), whose sum is σ = 23825483136. Its totient is φ = 2399997600.

The previous prime is 8280000787. The next prime is 8280000847.

8280000828 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8280000792 and 8280000801.

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, 445438 + ... + 463653.

It is an arithmetic number, because the mean of its divisors is an integer number (330909488).

Almost surely, 2^8280000828 is an apocalyptic number.

It is an amenable number.

8280000828 is an abundant number, since it is smaller than the sum of its proper divisors (15545482308).

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

8280000828 is a wasteful number, since it uses less digits than its factorization.

8280000828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909135 (or 909130 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 8280000828 is about 90994.5098783438. The cubic root of 8280000828 is about 2023.0663513344.

It can be divided in two parts, 8280000 and 828, that multiplied together give a square (6855840000 = 82800²).

The spelling of 8280000828 in words is "eight billion, two hundred eighty million, eight hundred twenty-eight", and thus it is an aban number.