1633728 has 56 divisors (see below), whose sum is σ = 4421632. Its totient is φ = 532224.

The previous prime is 1633711. The next prime is 1633729. The reversal of 1633728 is 8273361.

It is a super-3 number, since 3×1633728³ = 13081589347660333056, which contains 333 as substring.

It is a d-powerful number, because it can be written as 1 + 6² + 3⁸ + 3¹³ + 7 + 2⁵ + 8⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 1633695 and 1633704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1633729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12801 + ... + 12927.

2^1633728 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 1633728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210816).

1633728 is an abundant number, since it is smaller than the sum of its proper divisors (2787904).

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

1633728 is a wasteful number, since it uses less digits than its factorization.

1633728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 199 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 1633728 is about 1278.1736971163. The cubic root of 1633728 is about 117.7768453178.

The spelling of 1633728 in words is "one million, six hundred thirty-three thousand, seven hundred twenty-eight".