23129248 has 72 divisors (see below), whose sum is σ = 50363964. Its totient is φ = 10444800.

The previous prime is 23129243. The next prime is 23129261. The reversal of 23129248 is 84292132.

It can be written as a sum of positive squares in 6 ways, for example, as 5253264 + 17875984 = 2292^2 + 4228^2 .

It is a super-2 number, since 2×23129248² = 1069924226091008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23129243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 379138 + ... + 379198.

Almost surely, 2^23129248 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 23129248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25181982).

23129248 is an abundant number, since it is smaller than the sum of its proper divisors (27234716).

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

23129248 is a wasteful number, since it uses less digits than its factorization.

23129248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 121 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 23129248 is about 4809.2876811436. The cubic root of 23129248 is about 284.9184048760.

It can be divided in two parts, 2312 and 9248, that multiplied together give a 4-th power (21381376 = 68⁴).

The spelling of 23129248 in words is "twenty-three million, one hundred twenty-nine thousand, two hundred forty-eight".