7428564 has 144 divisors (see below), whose sum is σ = 23365440. Its totient is φ = 2021760.

The previous prime is 7428539. The next prime is 7428571. The reversal of 7428564 is 4658247.

7428564 is a `hidden beast` number, since 74 + 28 + 564 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200754 + ... + 200790.

It is an arithmetic number, because the mean of its divisors is an integer number (162260).

Almost surely, 2^7428564 is an apocalyptic number.

7428564 is a gapful number since it is divisible by the number (74) 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 7428564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11682720).

7428564 is an abundant number, since it is smaller than the sum of its proper divisors (15936876).

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

7428564 is a wasteful number, since it uses less digits than its factorization.

7428564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 66 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 7428564 is about 2725.5392127064. The cubic root of 7428564 is about 195.1199262295.

The spelling of 7428564 in words is "seven million, four hundred twenty-eight thousand, five hundred sixty-four".