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28319744 = 2133457
BaseRepresentation
bin110110000001…
…0000000000000
31222021210101102
41230002000000
524222212434
62450553532
7462466565
oct154020000
958253342
1028319744
1114a93052
1295988a8
135b3725b
143a9286c
15274607e
hex1b02000

28319744 has 28 divisors (see below), whose sum is σ = 56652414. Its totient is φ = 14155776.

The previous prime is 28319723. The next prime is 28319749. The reversal of 28319744 is 44791382.

It can be written as a sum of positive squares in only one way, i.e., 28217344 + 102400 = 5312^2 + 320^2 .

It is a junction number, because it is equal to n+sod(n) for n = 28319698 and 28319707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28319749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6464 + ... + 9920.

Almost surely, 228319744 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 28319744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28326207).

28319744 is an abundant number, since it is smaller than the sum of its proper divisors (28332670).

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

28319744 is an frugal number, since it uses more digits than its factorization.

28319744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3459 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 28319744 is about 5321.6298255328. The cubic root of 28319744 is about 304.8103954588.

The spelling of 28319744 in words is "twenty-eight million, three hundred nineteen thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 3457 4096 6914 8192 13828 27656 55312 110624 221248 442496 884992 1769984 3539968 7079936 14159872 28319744