4628736 has 162 divisors, whose sum is σ = 15903342. Its totient is φ = 1290240.

The previous prime is 4628731. The next prime is 4628747. The reversal of 4628736 is 6378264.

It can be written as a sum of positive squares in only one way, i.e., 2822400 + 1806336 = 1680^2 + 1344^2 .

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 a self number, because there is not a number n which added to its sum of digits gives 4628736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4628731) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112876 + ... + 112916.

Almost surely, 2^4628736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4628736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7951671).

4628736 is an abundant number, since it is smaller than the sum of its proper divisors (11274606).

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

4628736 is a wasteful number, since it uses less digits than its factorization.

4628736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 53 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 4628736 is about 2151.4497437774. The cubic root of 4628736 is about 166.6559424211.

It can be divided in two parts, 46 and 28736, that added together give a palindrome (28782).

The spelling of 4628736 in words is "four million, six hundred twenty-eight thousand, seven hundred thirty-six".