4662828 has 72 divisors (see below), whose sum is σ = 13169520. Its totient is φ = 1382400.

The previous prime is 4662821. The next prime is 4662863. The reversal of 4662828 is 8282664.

4662828 is a `hidden beast` number, since 4 + 6 + 628 + 28 = 666.

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 = 4662792 and 4662801.

It is not an unprimeable number, because it can be changed into a prime (4662821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11428 + ... + 11828.

It is an arithmetic number, because the mean of its divisors is an integer number (182910).

Almost surely, 2^4662828 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 4662828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6584760).

4662828 is an abundant number, since it is smaller than the sum of its proper divisors (8506692).

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

4662828 is a wasteful number, since it uses less digits than its factorization.

4662828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 442 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 4662828 is about 2159.3582379957. The cubic root of 4662828 is about 167.0640986447.

It can be divided in two parts, 46628 and 28, that added together give a 6-th power (46656 = 6⁶).

The spelling of 4662828 in words is "four million, six hundred sixty-two thousand, eight hundred twenty-eight".