5629248 has 84 divisors (see below), whose sum is σ = 16741140. Its totient is φ = 1806336.

The previous prime is 5629229. The next prime is 5629279. The reversal of 5629248 is 8429265.

It is a happy number.

5629248 is a `hidden beast` number, since 5 + 629 + 24 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2214144 + 3415104 = 1488^2 + 1848^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (34560) is a multiple of the sum of its prime factors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16536 + ... + 16872.

Almost surely, 2^5629248 is an apocalyptic number.

5629248 is a gapful number since it is divisible by the number (58) 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 5629248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8370570).

5629248 is an abundant number, since it is smaller than the sum of its proper divisors (11111892).

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

5629248 is a wasteful number, since it uses less digits than its factorization.

5629248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 371 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 5629248 is about 2372.6036331423. The cubic root of 5629248 is about 177.8894233897.

The spelling of 5629248 in words is "five million, six hundred twenty-nine thousand, two hundred forty-eight".