115428820 has 48 divisors (see below), whose sum is σ = 263506320. Its totient is φ = 42218496.

The previous prime is 115428811. The next prime is 115428823. The reversal of 115428820 is 28824511.

It can be written as a sum of positive squares in 8 ways, for example, as 16744464 + 98684356 = 4092^2 + 9934^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115428823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26304 + ... + 30376.

It is an arithmetic number, because the mean of its divisors is an integer number (5489715).

Almost surely, 2^115428820 is an apocalyptic number.

115428820 is a gapful number since it is divisible by the number (10) 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 115428820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131753160).

115428820 is an abundant number, since it is smaller than the sum of its proper divisors (148077500).

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

115428820 is a wasteful number, since it uses less digits than its factorization.

115428820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4204 (or 4202 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 115428820 is about 10743.7805264255. The cubic root of 115428820 is about 486.8981061781.

The spelling of 115428820 in words is "one hundred fifteen million, four hundred twenty-eight thousand, eight hundred twenty".