428576652 has 144 divisors (see below), whose sum is σ = 1271350080. Its totient is φ = 119218176.

The previous prime is 428576639. The next prime is 428576653. The reversal of 428576652 is 256675824.

428576652 is a `hidden beast` number, since 4 + 28 + 576 + 6 + 52 = 666.

Its product of digits (806400) is a multiple of the sum of its prime factors (400).

It is a junction number, because it is equal to n+sod(n) for n = 428576598 and 428576607.

It is not an unprimeable number, because it can be changed into a prime (428576653) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2175418 + ... + 2175614.

It is an arithmetic number, because the mean of its divisors is an integer number (8828820).

Almost surely, 2^428576652 is an apocalyptic number.

428576652 is a gapful number since it is divisible by the number (42) 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 428576652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635675040).

428576652 is an abundant number, since it is smaller than the sum of its proper divisors (842773428).

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

428576652 is a wasteful number, since it uses less digits than its factorization.

428576652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 395 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 428576652 is about 20702.0929376718. The cubic root of 428576652 is about 753.9505041538.

The spelling of 428576652 in words is "four hundred twenty-eight million, five hundred seventy-six thousand, six hundred fifty-two".