7632828 has 54 divisors (see below), whose sum is σ = 22449336. Its totient is φ = 2180304.

The previous prime is 7632817. The next prime is 7632853. The reversal of 7632828 is 8282367.

It is a happy number.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 7⁸ + 6⁸ + 3¹¹ + 2¹¹ + 8³ + 2¹³ + 8³ .

It is a junction number, because it is equal to n+sod(n) for n = 7632792 and 7632801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 400 + ... + 3927.

Almost surely, 2^7632828 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 7632828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11224668).

7632828 is an abundant number, since it is smaller than the sum of its proper divisors (14816508).

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

7632828 is a wasteful number, since it uses less digits than its factorization.

7632828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351 (or 4339 counting only the distinct ones).

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

The square root of 7632828 is about 2762.7573183325. The cubic root of 7632828 is about 196.8921910914.

The spelling of 7632828 in words is "seven million, six hundred thirty-two thousand, eight hundred twenty-eight".