4645728 has 96 divisors (see below), whose sum is σ = 14313600. Its totient is φ = 1461888.

The previous prime is 4645721. The next prime is 4645733. The reversal of 4645728 is 8275464.

4645728 is a `hidden beast` number, since 4 + 645 + 7 + 2 + 8 = 666.

4645728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 4645692 and 4645701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4645721) 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, 16275 + ... + 16557.

It is an arithmetic number, because the mean of its divisors is an integer number (149100).

Almost surely, 2^4645728 is an apocalyptic number.

4645728 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 4645728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7156800).

4645728 is an abundant number, since it is smaller than the sum of its proper divisors (9667872).

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

4645728 is a wasteful number, since it uses less digits than its factorization.

4645728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 307 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 4645728 is about 2155.3950913928. The cubic root of 4645728 is about 166.8596236306.

The spelling of 4645728 in words is "four million, six hundred forty-five thousand, seven hundred twenty-eight".