7728048 has 100 divisors (see below), whose sum is σ = 22956120. Its totient is φ = 2509056.

The previous prime is 7728043. The next prime is 7728053. The reversal of 7728048 is 8408277.

It is an interprime number because it is at equal distance from previous prime (7728043) and next prime (7728053).

It is a super-3 number, since 3×7728048³ (a number of 22 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (7728043) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 86788 + ... + 86876.

Almost surely, 2^7728048 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 7728048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11478060).

7728048 is an abundant number, since it is smaller than the sum of its proper divisors (15228072).

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

7728048 is a wasteful number, since it uses less digits than its factorization.

7728048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 7728048 is about 2779.9366899266. The cubic root of 7728048 is about 197.7075572603.

The spelling of 7728048 in words is "seven million, seven hundred twenty-eight thousand, forty-eight".