28614240 has 144 divisors (see below), whose sum is σ = 100953216. Its totient is φ = 7372800.

The previous prime is 28614239. The next prime is 28614241. The reversal of 28614240 is 4241682.

28614240 is a `hidden beast` number, since 2 + 8 + 614 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (28614239) and next prime (28614241).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28614241) 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, 44320 + ... + 44960.

It is an arithmetic number, because the mean of its divisors is an integer number (701064).

Almost surely, 2^28614240 is an apocalyptic number.

28614240 is a gapful number since it is divisible by the number (20) 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 28614240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50476608).

28614240 is an abundant number, since it is smaller than the sum of its proper divisors (72338976).

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

28614240 is a wasteful number, since it uses less digits than its factorization.

28614240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 682 counting only the distinct ones).

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

The square root of 28614240 is about 5349.2279816811. The cubic root of 28614240 is about 305.8633248402.

The spelling of 28614240 in words is "twenty-eight million, six hundred fourteen thousand, two hundred forty".