7488128 has 32 divisors (see below), whose sum is σ = 15708000. Its totient is φ = 3545856.

The previous prime is 7488127. The next prime is 7488137. The reversal of 7488128 is 8218847.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an Ulam number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 7488091 and 7488100.

It is not an unprimeable number, because it can be changed into a prime (7488127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 893 + ... + 3971.

It is an arithmetic number, because the mean of its divisors is an integer number (490875).

Almost surely, 2^7488128 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 7488128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7854000).

7488128 is an abundant number, since it is smaller than the sum of its proper divisors (8219872).

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

7488128 is a wasteful number, since it uses less digits than its factorization.

7488128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112 (or 3100 counting only the distinct ones).

The product of its digits is 28672, while the sum is 38.

The square root of 7488128 is about 2736.4444083518. Note that the first 4 decimals coincide. The cubic root of 7488128 is about 195.6400446057.

The spelling of 7488128 in words is "seven million, four hundred eighty-eight thousand, one hundred twenty-eight".