5633280 has 144 divisors (see below), whose sum is σ = 20112960. Its totient is φ = 1492992.

The previous prime is 5633269. The next prime is 5633297. The reversal of 5633280 is 823365.

5633280 is a `hidden beast` number, since 5 + 633 + 28 + 0 = 666.

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 (27).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34479 + ... + 34641.

Almost surely, 2^5633280 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 5633280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10056480).

5633280 is an abundant number, since it is smaller than the sum of its proper divisors (14479680).

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

5633280 is a wasteful number, since it uses less digits than its factorization.

5633280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5633280 is about 2373.4531804946. The cubic root of 5633280 is about 177.9318848918.

The spelling of 5633280 in words is "five million, six hundred thirty-three thousand, two hundred eighty".