7428120 has 128 divisors (see below), whose sum is σ = 26265600. Its totient is φ = 1645056.

The previous prime is 7428119. The next prime is 7428151. The reversal of 7428120 is 218247.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30961 + ... + 31199.

It is an arithmetic number, because the mean of its divisors is an integer number (205200).

Almost surely, 2^7428120 is an apocalyptic number.

7428120 is a gapful number since it is divisible by the number (70) 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 7428120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13132800).

7428120 is an abundant number, since it is smaller than the sum of its proper divisors (18837480).

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

7428120 is a wasteful number, since it uses less digits than its factorization.

7428120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 7428120 is about 2725.4577597167. The cubic root of 7428120 is about 195.1160387589.

The spelling of 7428120 in words is "seven million, four hundred twenty-eight thousand, one hundred twenty".