428582052 has 18 divisors (see below), whose sum is σ = 1083360278. Its totient is φ = 142860672.

The previous prime is 428582047. The next prime is 428582059. The reversal of 428582052 is 250285824.

428582052 is a `hidden beast` number, since 4 + 28 + 582 + 0 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 400640256 + 27941796 = 20016^2 + 5286^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11905057 = 428582052 / (4 + 2 + 8 + 5 + 8 + 2 + 0 + 5 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 428581998 and 428582016.

It is not an unprimeable number, because it can be changed into a prime (428582059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5952493 + ... + 5952564.

Almost surely, 2^428582052 is an apocalyptic number.

It is an amenable number.

428582052 is an abundant number, since it is smaller than the sum of its proper divisors (654778226).

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

428582052 is a wasteful number, since it uses less digits than its factorization.

428582052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11905067 (or 11905062 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 428582052 is about 20702.2233588569. The cubic root of 428582052 is about 753.9536706941.

The spelling of 428582052 in words is "four hundred twenty-eight million, five hundred eighty-two thousand, fifty-two".