42828624 has 30 divisors (see below), whose sum is σ = 119861066. Its totient is φ = 14276160.

The previous prime is 42828623. The next prime is 42828629. The reversal of 42828624 is 42682824.

It is a happy number.

42828624 is a `hidden beast` number, since 4 + 2 + 8 + 28 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24681024 + 18147600 = 4968^2 + 4260^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42828623) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 148567 + ... + 148854.

Almost surely, 2^42828624 is an apocalyptic number.

It is an amenable number.

42828624 is an abundant number, since it is smaller than the sum of its proper divisors (77032442).

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

42828624 is a wasteful number, since it uses less digits than its factorization.

42828624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297435 (or 297426 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 42828624 is about 6544.3581809067. The cubic root of 42828624 is about 349.8737612762.

The spelling of 42828624 in words is "forty-two million, eight hundred twenty-eight thousand, six hundred twenty-four".