7728364 has 48 divisors (see below), whose sum is σ = 16576000. Its totient is φ = 3079296.

The previous prime is 7728361. The next prime is 7728367. The reversal of 7728364 is 4638277.

It is an interprime number because it is at equal distance from previous prime (7728361) and next prime (7728367).

It is a super-2 number, since 2×7728364² = 119455220232992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7728361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38737 + ... + 38935.

Almost surely, 2^7728364 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 7728364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8288000).

7728364 is an abundant number, since it is smaller than the sum of its proper divisors (8847636).

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

7728364 is a wasteful number, since it uses less digits than its factorization.

7728364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 300 counting only the distinct ones).

The product of its digits is 56448, while the sum is 37.

The square root of 7728364 is about 2779.9935251723. The cubic root of 7728364 is about 197.7102519785.

It can be divided in two parts, 77 and 28364, that added together give a triangular number (28441 = T₂₃₈).

The spelling of 7728364 in words is "seven million, seven hundred twenty-eight thousand, three hundred sixty-four".