7408128 has 160 divisors (see below), whose sum is σ = 24748416. Its totient is φ = 1916928.

The previous prime is 7408127. The next prime is 7408129. The reversal of 7408128 is 8218047.

It is an interprime number because it is at equal distance from previous prime (7408127) and next prime (7408129).

It is a junction number, because it is equal to n+sod(n) for n = 7408095 and 7408104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7408127) 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, 139750 + ... + 139802.

Almost surely, 2^7408128 is an apocalyptic number.

7408128 is a gapful number since it is divisible by the number (78) 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 7408128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12374208).

7408128 is an abundant number, since it is smaller than the sum of its proper divisors (17340288).

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

7408128 is a wasteful number, since it uses less digits than its factorization.

7408128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 7408128 is about 2721.7876478521. The cubic root of 7408128 is about 194.9408367525.

The spelling of 7408128 in words is "seven million, four hundred eight thousand, one hundred twenty-eight".