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28553344 = 27376029
BaseRepresentation
bin110110011101…
…1000010000000
31222201122211021
41230323002000
524302201334
62455555224
7464461621
oct154730200
958648737
1028553344
1115132606
12968bb14
135bb9691
143b13a48
1527903b4
hex1b3b080

28553344 has 32 divisors (see below), whose sum is σ = 58430700. Its totient is φ = 13888512.

The previous prime is 28553341. The next prime is 28553347. The reversal of 28553344 is 44335582.

It is an interprime number because it is at equal distance from previous prime (28553341) and next prime (28553347).

It can be written as a sum of positive squares in 2 ways, for example, as 22202944 + 6350400 = 4712^2 + 2520^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (28553341) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1722 + ... + 7750.

Almost surely, 228553344 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 28553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29215350).

28553344 is an abundant number, since it is smaller than the sum of its proper divisors (29877356).

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

28553344 is an equidigital number, since it uses as much as digits as its factorization.

28553344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6080 (or 6068 counting only the distinct ones).

The product of its digits is 57600, while the sum is 34.

The square root of 28553344 is about 5343.5329137192. The cubic root of 28553344 is about 305.6461942359.

The spelling of 28553344 in words is "twenty-eight million, five hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 4736 6029 12058 24116 48232 96464 192928 223073 385856 446146 771712 892292 1784584 3569168 7138336 14276672 28553344