28742112 has 144 divisors (see below), whose sum is σ = 95528160. Its totient is φ = 8027136.

The previous prime is 28742099. The next prime is 28742113. The reversal of 28742112 is 21124782.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×28742112² = 1652218004441088, which contains 22 as substring.

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 (28742113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106714 + ... + 106982.

It is an arithmetic number, because the mean of its divisors is an integer number (663390).

Almost surely, 2^28742112 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 28742112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47764080).

28742112 is an abundant number, since it is smaller than the sum of its proper divisors (66786048).

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

28742112 is a wasteful number, since it uses less digits than its factorization.

28742112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 334 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 28742112 is about 5361.1670371291. The cubic root of 28742112 is about 306.3182642772.

Adding to 28742112 its reverse (21124782), we get a palindrome (49866894).

The spelling of 28742112 in words is "twenty-eight million, seven hundred forty-two thousand, one hundred twelve".