28141344 has 288 divisors, whose sum is σ = 105670656. Its totient is φ = 7153920.

The previous prime is 28141331. The next prime is 28141361. The reversal of 28141344 is 44314182.

28141344 is a `hidden beast` number, since 281 + 41 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 598729 + ... + 598775.

It is an arithmetic number, because the mean of its divisors is an integer number (366912).

Almost surely, 2^28141344 is an apocalyptic number.

28141344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52835328).

28141344 is an abundant number, since it is smaller than the sum of its proper divisors (77529312).

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

28141344 is a wasteful number, since it uses less digits than its factorization.

28141344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 70 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 28141344 is about 5304.8415621958. The cubic root of 28141344 is about 304.1689965252.

The spelling of 28141344 in words is "twenty-eight million, one hundred forty-one thousand, three hundred forty-four".