23282820 has 108 divisors (see below), whose sum is σ = 77701260. Its totient is φ = 5639040.

The previous prime is 23282807. The next prime is 23282827. The reversal of 23282820 is 2828232.

It can be written as a sum of positive squares in 2 ways, for example, as 9622404 + 13660416 = 3102^2 + 3696^2 .

It is not an unprimeable number, because it can be changed into a prime (23282827) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21246 + ... + 22314.

Almost surely, 2^23282820 is an apocalyptic number.

23282820 is a gapful number since it is divisible by the number (20) 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 23282820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38850630).

23282820 is an abundant number, since it is smaller than the sum of its proper divisors (54418440).

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

23282820 is a wasteful number, since it uses less digits than its factorization.

23282820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 23282820 is about 4825.2274557786. The cubic root of 23282820 is about 285.5476082603.

The spelling of 23282820 in words is "twenty-three million, two hundred eighty-two thousand, eight hundred twenty".