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28243296 = 253397337
BaseRepresentation
bin110101110111…
…1010101100000
31222010220112000
41223233111200
524212241141
62445204000
7462030654
oct153572540
958126460
1028243296
1114a40674
129560600
135b0b513
143a72a64
15272d5b6
hex1aef560

28243296 has 96 divisors (see below), whose sum is σ = 83472480. Its totient is φ = 9289728.

The previous prime is 28243283. The next prime is 28243309. The reversal of 28243296 is 69234282.

It is an interprime number because it is at equal distance from previous prime (28243283) and next prime (28243309).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 28243296.

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, 83640 + ... + 83976.

It is an arithmetic number, because the mean of its divisors is an integer number (869505).

Almost surely, 228243296 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 28243296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41736240).

28243296 is an abundant number, since it is smaller than the sum of its proper divisors (55229184).

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

28243296 is a wasteful number, since it uses less digits than its factorization.

28243296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 439 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 28243296 is about 5314.4422096773. The cubic root of 28243296 is about 304.5358738583.

The spelling of 28243296 in words is "twenty-eight million, two hundred forty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 97 108 144 194 216 288 291 337 388 432 582 674 776 864 873 1011 1164 1348 1552 1746 2022 2328 2619 2696 3033 3104 3492 4044 4656 5238 5392 6066 6984 8088 9099 9312 10476 10784 12132 13968 16176 18198 20952 24264 27936 32352 32689 36396 41904 48528 65378 72792 83808 97056 98067 130756 145584 196134 261512 291168 294201 392268 523024 588402 784536 882603 1046048 1176804 1569072 1765206 2353608 3138144 3530412 4707216 7060824 9414432 14121648 28243296