242820828 has 120 divisors (see below), whose sum is σ = 673060080. Its totient is φ = 76204800.

The previous prime is 242820803. The next prime is 242820833. The reversal of 242820828 is 828028242.

242820828 is a `hidden beast` number, since 2 + 428 + 208 + 28 = 666.

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 = 242820792 and 242820801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 403728 + ... + 404328.

It is an arithmetic number, because the mean of its divisors is an integer number (5608834).

Almost surely, 2^242820828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242820828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336530040).

242820828 is an abundant number, since it is smaller than the sum of its proper divisors (430239252).

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

242820828 is a wasteful number, since it uses less digits than its factorization.

242820828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 242820828 is about 15582.7092637962. The cubic root of 242820828 is about 623.8717376909.

The spelling of 242820828 in words is "two hundred forty-two million, eight hundred twenty thousand, eight hundred twenty-eight".