242428928 has 88 divisors (see below), whose sum is σ = 572242944. Its totient is φ = 100454400.

The previous prime is 242428913. The next prime is 242428931. The reversal of 242428928 is 829824242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221663 + ... + 222753.

Almost surely, 2^242428928 is an apocalyptic number.

242428928 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 242428928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286121472).

242428928 is an abundant number, since it is smaller than the sum of its proper divisors (329814016).

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

242428928 is a wasteful number, since it uses less digits than its factorization.

242428928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1131 counting only the distinct ones).

The product of its digits is 147456, while the sum is 41.

The square root of 242428928 is about 15570.1293507793. The cubic root of 242428928 is about 623.5359249461.

The spelling of 242428928 in words is "two hundred forty-two million, four hundred twenty-eight thousand, nine hundred twenty-eight".