4728633 has 16 divisors (see below), whose sum is σ = 7760256. Its totient is φ = 2494080.

The previous prime is 4728631. The next prime is 4728649. The reversal of 4728633 is 3368274.

It is not a de Polignac number, because 4728633 - 2¹ = 4728631 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 4¹¹ + 7³ + 2⁹ + 8 + 6⁴ + 3⁶ + 3¹² .

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 4728594 and 4728603.

It is not an unprimeable number, because it can be changed into a prime (4728631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8388 + ... + 8933.

It is an arithmetic number, because the mean of its divisors is an integer number (485016).

Almost surely, 2^4728633 is an apocalyptic number.

It is an amenable number.

4728633 is a deficient number, since it is larger than the sum of its proper divisors (3031623).

4728633 is a wasteful number, since it uses less digits than its factorization.

4728633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17344.

The product of its digits is 24192, while the sum is 33.

The square root of 4728633 is about 2174.5420207483. The cubic root of 4728633 is about 167.8463376692.

It can be divided in two parts, 47 and 28633, that added together give a triangular number (28680 = T₂₃₉).

The spelling of 4728633 in words is "four million, seven hundred twenty-eight thousand, six hundred thirty-three".