28142496 has 144 divisors (see below), whose sum is σ = 87141600. Its totient is φ = 8584704.

The previous prime is 28142467. The next prime is 28142503. The reversal of 28142496 is 69424182.

28142496 is a `hidden beast` number, since 28 + 142 + 496 = 666.

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

It is a super-2 number, since 2×28142496² = 1584000162220032, which contains 22 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 28142496.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 202395 + ... + 202533.

It is an arithmetic number, because the mean of its divisors is an integer number (605150).

Almost surely, 2^28142496 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 28142496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43570800).

28142496 is an abundant number, since it is smaller than the sum of its proper divisors (58999104).

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

28142496 is a wasteful number, since it uses less digits than its factorization.

28142496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 200 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 28142496 is about 5304.9501411418. The cubic root of 28142496 is about 304.1731469773.

The spelling of 28142496 in words is "twenty-eight million, one hundred forty-two thousand, four hundred ninety-six".