242628288 has 224 divisors, whose sum is σ = 786530304. Its totient is φ = 64508928.

The previous prime is 242628209. The next prime is 242628307. The reversal of 242628288 is 882826242.

242628288 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 (224).

It is a super-2 number, since 2×242628288² = 117736972275621888, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 1452781 + ... + 1452947.

It is an arithmetic number, because the mean of its divisors is an integer number (3511296).

Almost surely, 2^242628288 is an apocalyptic number.

242628288 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 242628288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393265152).

242628288 is an abundant number, since it is smaller than the sum of its proper divisors (543902016).

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

242628288 is a wasteful number, since it uses less digits than its factorization.

242628288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 249 counting only the distinct ones).

The product of its digits is 196608, while the sum is 42.

The square root of 242628288 is about 15576.5300372066. The cubic root of 242628288 is about 623.7067984799.

The spelling of 242628288 in words is "two hundred forty-two million, six hundred twenty-eight thousand, two hundred eighty-eight".