28427616 has 144 divisors (see below), whose sum is σ = 94348800. Its totient is φ = 7951104.

The previous prime is 28427593. The next prime is 28427639. The reversal of 28427616 is 61672482.

It is an interprime number because it is at equal distance from previous prime (28427593) and next prime (28427639).

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

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118825 + ... + 119063.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 2^28427616 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 28427616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47174400).

28427616 is an abundant number, since it is smaller than the sum of its proper divisors (65921184).

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

28427616 is a wasteful number, since it uses less digits than its factorization.

28427616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 310 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 28427616 is about 5331.7554332509. The cubic root of 28427616 is about 305.1969202217.

The spelling of 28427616 in words is "twenty-eight million, four hundred twenty-seven thousand, six hundred sixteen".