492373728 has 240 divisors, whose sum is σ = 1806102144. Its totient is φ = 127837440.

The previous prime is 492373691. The next prime is 492373747. The reversal of 492373728 is 827373294.

492373728 is a `hidden beast` number, since 49 + 237 + 372 + 8 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 198351 + ... + 200817.

Almost surely, 2^492373728 is an apocalyptic number.

492373728 is a gapful number since it is divisible by the number (48) 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 492373728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903051072).

492373728 is an abundant number, since it is smaller than the sum of its proper divisors (1313728416).

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

492373728 is a wasteful number, since it uses less digits than its factorization.

492373728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2490 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 492373728 is about 22189.4958933275. The cubic root of 492373728 is about 789.6445166650.

The spelling of 492373728 in words is "four hundred ninety-two million, three hundred seventy-three thousand, seven hundred twenty-eight".