235009728 has 112 divisors (see below), whose sum is σ = 694700160. Its totient is φ = 77905152.

The previous prime is 235009721. The next prime is 235009739. The reversal of 235009728 is 827900532.

It is a happy number.

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 = 235009692 and 235009701.

It is not an unprimeable number, because it can be changed into a prime (235009721) 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, 530275 + ... + 530717.

It is an arithmetic number, because the mean of its divisors is an integer number (6202680).

Almost surely, 2^235009728 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 235009728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347350080).

235009728 is an abundant number, since it is smaller than the sum of its proper divisors (459690432).

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

235009728 is a wasteful number, since it uses less digits than its factorization.

235009728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 235009728 is about 15330.0270058471. The cubic root of 235009728 is about 617.1090942729.

The spelling of 235009728 in words is "two hundred thirty-five million, nine thousand, seven hundred twenty-eight".