7428960 has 288 divisors, whose sum is σ = 32078592. Its totient is φ = 1520640.

The previous prime is 7428937. The next prime is 7428997. The reversal of 7428960 is 698247.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110847 + ... + 110913.

It is an arithmetic number, because the mean of its divisors is an integer number (111384).

Almost surely, 2^7428960 is an apocalyptic number.

7428960 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 7428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16039296).

7428960 is an abundant number, since it is smaller than the sum of its proper divisors (24649632).

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

7428960 is a wasteful number, since it uses less digits than its factorization.

7428960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7428960 is about 2725.6118579137. The cubic root of 7428960 is about 195.1233933024.

The spelling of 7428960 in words is "seven million, four hundred twenty-eight thousand, nine hundred sixty".