201242328 has 128 divisors (see below), whose sum is σ = 628715520. Its totient is φ = 52346880.

The previous prime is 201242323. The next prime is 201242347. The reversal of 201242328 is 823242102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 201242298 and 201242307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201242323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87400 + ... + 89672.

It is an arithmetic number, because the mean of its divisors is an integer number (4911840).

Almost surely, 2^201242328 is an apocalyptic number.

201242328 is a gapful number since it is divisible by the number (28) 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 201242328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314357760).

201242328 is an abundant number, since it is smaller than the sum of its proper divisors (427473192).

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

201242328 is a wasteful number, since it uses less digits than its factorization.

201242328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 201242328 is about 14185.9905540642. The cubic root of 201242328 is about 586.0119121467.

The spelling of 201242328 in words is "two hundred one million, two hundred forty-two thousand, three hundred twenty-eight".