7828632 has 96 divisors (see below), whose sum is σ = 24804000. Its totient is φ = 2229696.

The previous prime is 7828631. The next prime is 7828657. The reversal of 7828632 is 2368287.

It is a happy number.

It is a super-2 number, since 2×7828632² = 122574957982848, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7828631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24538 + ... + 24854.

It is an arithmetic number, because the mean of its divisors is an integer number (258375).

Almost surely, 2^7828632 is an apocalyptic number.

7828632 is a gapful number since it is divisible by the number (72) 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 7828632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12402000).

7828632 is an abundant number, since it is smaller than the sum of its proper divisors (16975368).

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

7828632 is a wasteful number, since it uses less digits than its factorization.

7828632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 329 counting only the distinct ones).

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

The square root of 7828632 is about 2797.9692635910. The cubic root of 7828632 is about 198.5616133522.

The spelling of 7828632 in words is "seven million, eight hundred twenty-eight thousand, six hundred thirty-two".