7828352 has 32 divisors (see below), whose sum is σ = 17825520. Its totient is φ = 3354624.

The previous prime is 7828343. The next prime is 7828357. The reversal of 7828352 is 2538287.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×7828352² = 122566190071808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7828357) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3473 + ... + 5264.

Almost surely, 2^7828352 is an apocalyptic number.

It is an amenable number.

7828352 is an abundant number, since it is smaller than the sum of its proper divisors (9997168).

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

7828352 is an equidigital number, since it uses as much as digits as its factorization.

7828352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8758 (or 8746 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 7828352 is about 2797.9192268541. The cubic root of 7828352 is about 198.5592460628.

It can be divided in two parts, 7 and 828352, that multiplied together give a square (5798464 = 2408²).

The spelling of 7828352 in words is "seven million, eight hundred twenty-eight thousand, three hundred fifty-two".