42224728 has 64 divisors (see below), whose sum is σ = 100638720. Its totient is φ = 16156800.

The previous prime is 42224723. The next prime is 42224731. The reversal of 42224728 is 82742224.

It is a Harshad number since it is a multiple of its sum of digits (31).

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

It is a self number, because there is not a number n which added to its sum of digits gives 42224728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42224723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21633 + ... + 23503.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 2^42224728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42224728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50319360).

42224728 is an abundant number, since it is smaller than the sum of its proper divisors (58413992).

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

42224728 is a wasteful number, since it uses less digits than its factorization.

42224728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1924 counting only the distinct ones).

The product of its digits is 14336, while the sum is 31.

The square root of 42224728 is about 6498.0557092103. The cubic root of 42224728 is about 348.2215306787.

The spelling of 42224728 in words is "forty-two million, two hundred twenty-four thousand, seven hundred twenty-eight".