3628728 has 48 divisors (see below), whose sum is σ = 9945000. Its totient is φ = 1195200.

The previous prime is 3628711. The next prime is 3628747. The reversal of 3628728 is 8278263.

It is a happy number.

3628728 is a `hidden beast` number, since 3 + 628 + 7 + 28 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 3628692 and 3628701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7023 + ... + 7521.

Almost surely, 2^3628728 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 3628728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972500).

3628728 is an abundant number, since it is smaller than the sum of its proper divisors (6316272).

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

3628728 is a wasteful number, since it uses less digits than its factorization.

3628728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 605 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 3628728 is about 1904.9220456491. The cubic root of 3628728 is about 153.6684834591.

It can be divided in two parts, 36287 and 28, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 3628728 in words is "three million, six hundred twenty-eight thousand, seven hundred twenty-eight".