242828280311232 has 896 divisors, whose sum is σ = 873853349234688. Its totient is φ = 57588881817600.

The previous prime is 242828280311231. The next prime is 242828280311233. The reversal of 242828280311232 is 232113082828242.

It is an interprime number because it is at equal distance from previous prime (242828280311231) and next prime (242828280311233).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242828280311231) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1119055098 + ... + 1119272070.

Almost surely, 2^{242828280311232} is an apocalyptic number.

242828280311232 is a gapful number since it is divisible by the number (22) 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 242828280311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436926674617344).

242828280311232 is an abundant number, since it is smaller than the sum of its proper divisors (631025068923456).

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

242828280311232 is a wasteful number, since it uses less digits than its factorization.

242828280311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217157 (or 217147 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 242828280311232 in words is "two hundred forty-two trillion, eight hundred twenty-eight billion, two hundred eighty million, three hundred eleven thousand, two hundred thirty-two".