4292928 has 84 divisors (see below), whose sum is σ = 12778740. Its totient is φ = 1376256.

The previous prime is 4292923. The next prime is 4292941. The reversal of 4292928 is 8292924.

It can be written as a sum of positive squares in 2 ways, for example, as 3504384 + 788544 = 1872^2 + 888^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4292892 and 4292901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4292921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16576 + ... + 16832.

Almost surely, 2^4292928 is an apocalyptic number.

4292928 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 4292928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6389370).

4292928 is an abundant number, since it is smaller than the sum of its proper divisors (8485812).

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

4292928 is a wasteful number, since it uses less digits than its factorization.

4292928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 291 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 4292928 is about 2071.9382230173. The cubic root of 4292928 is about 162.5241368486.

The spelling of 4292928 in words is "four million, two hundred ninety-two thousand, nine hundred twenty-eight".