242792928 has 144 divisors (see below), whose sum is σ = 799134336. Its totient is φ = 68486400.

The previous prime is 242792923. The next prime is 242792933. The reversal of 242792928 is 829297242.

It is an interprime number because it is at equal distance from previous prime (242792923) and next prime (242792933).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242792923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166603 + ... + 168053.

It is an arithmetic number, because the mean of its divisors is an integer number (5549544).

Almost surely, 2^242792928 is an apocalyptic number.

242792928 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 242792928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399567168).

242792928 is an abundant number, since it is smaller than the sum of its proper divisors (556341408).

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

242792928 is a wasteful number, since it uses less digits than its factorization.

242792928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1546 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 242792928 is about 15581.8140150626. The cubic root of 242792928 is about 623.8478425851.

It can be divided in two parts, 242 and 792928, that added together give a triangular number (793170 = T₁₂₅₉).

The spelling of 242792928 in words is "two hundred forty-two million, seven hundred ninety-two thousand, nine hundred twenty-eight".