242591328 has 96 divisors (see below), whose sum is σ = 808657920. Its totient is φ = 69310080.

The previous prime is 242591317. The next prime is 242591329. The reversal of 242591328 is 823195242.

It is a happy number.

242591328 is a `hidden beast` number, since 2 + 42 + 591 + 3 + 28 = 666.

242591328 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 (96).

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 = 242591292 and 242591301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242591329) 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, 14008 + ... + 26103.

It is an arithmetic number, because the mean of its divisors is an integer number (8423520).

Almost surely, 2^242591328 is an apocalyptic number.

242591328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

242591328 is an abundant number, since it is smaller than the sum of its proper divisors (566066592).

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

242591328 is a wasteful number, since it uses less digits than its factorization.

242591328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40137 (or 40123 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 242591328 is about 15575.3435917157. The cubic root of 242591328 is about 623.6751267485.

The spelling of 242591328 in words is "two hundred forty-two million, five hundred ninety-one thousand, three hundred twenty-eight".