4992768 has 108 divisors (see below), whose sum is σ = 15783768. Its totient is φ = 1505280.

The previous prime is 4992737. The next prime is 4992769. The reversal of 4992768 is 8672994.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4992769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25246 + ... + 25442.

It is an arithmetic number, because the mean of its divisors is an integer number (146146).

Almost surely, 2^4992768 is an apocalyptic number.

4992768 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 4992768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7891884).

4992768 is an abundant number, since it is smaller than the sum of its proper divisors (10791000).

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

4992768 is a wasteful number, since it uses less digits than its factorization.

4992768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 213 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 4992768 is about 2234.4502679630. The cubic root of 4992768 is about 170.9151112466.

The spelling of 4992768 in words is "four million, nine hundred ninety-two thousand, seven hundred sixty-eight".