233628240 has 80 divisors (see below), whose sum is σ = 737952768. Its totient is φ = 61122048.

The previous prime is 233628223. The next prime is 233628253. The reversal of 233628240 is 42826332.

233628240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 233628198 and 233628207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3537 + ... + 21903.

Almost surely, 2^233628240 is an apocalyptic number.

233628240 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 233628240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368976384).

233628240 is an abundant number, since it is smaller than the sum of its proper divisors (504324528).

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

233628240 is a wasteful number, since it uses less digits than its factorization.

233628240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18436 (or 18430 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 233628240 is about 15284.9023549384. The cubic root of 233628240 is about 615.8975064197.

It can be divided in two parts, 23 and 3628240, that added together give a palindrome (3628263).

The spelling of 233628240 in words is "two hundred thirty-three million, six hundred twenty-eight thousand, two hundred forty".