23429280 has 192 divisors, whose sum is σ = 89026560. Its totient is φ = 5059584.

The previous prime is 23429279. The next prime is 23429291. The reversal of 23429280 is 8292432.

It is a super-2 number, since 2×23429280² = 1097862322636800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63657 + ... + 64023.

It is an arithmetic number, because the mean of its divisors is an integer number (463680).

Almost surely, 2^23429280 is an apocalyptic number.

23429280 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 23429280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44513280).

23429280 is an abundant number, since it is smaller than the sum of its proper divisors (65597280).

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

23429280 is a wasteful number, since it uses less digits than its factorization.

23429280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 23429280 is about 4840.3801503601. The cubic root of 23429280 is about 286.1451005447.

The spelling of 23429280 in words is "twenty-three million, four hundred twenty-nine thousand, two hundred eighty".