5829152 has 48 divisors (see below), whose sum is σ = 13390272. Its totient is φ = 2446080.

The previous prime is 5829149. The next prime is 5829157. The reversal of 5829152 is 2519285.

5829152 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (5829157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11627 + ... + 12117.

It is an arithmetic number, because the mean of its divisors is an integer number (278964).

Almost surely, 2^5829152 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 5829152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6695136).

5829152 is an abundant number, since it is smaller than the sum of its proper divisors (7561120).

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

5829152 is a wasteful number, since it uses less digits than its factorization.

5829152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 553 counting only the distinct ones).

The product of its digits is 7200, while the sum is 32.

The square root of 5829152 is about 2414.3636842862. The cubic root of 5829152 is about 179.9706948177.

It can be divided in two parts, 5 and 829152, that multiplied together give a triangular number (4145760 = T₂₈₇₉).

The spelling of 5829152 in words is "five million, eight hundred twenty-nine thousand, one hundred fifty-two".