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28264248 = 2333197197
BaseRepresentation
bin110101111010…
…0011100111000
31222011222021000
41223310130320
524213423443
62445445000
7462146025
oct153643470
958158230
1028264248
1114a55391
129570760
135b17c0c
143a7a54c
1527348d3
hex1af4738

28264248 has 128 divisors (see below), whose sum is σ = 84672000. Its totient is φ = 8709120.

The previous prime is 28264237. The next prime is 28264273. The reversal of 28264248 is 84246282.

It is a happy number.

28264248 is a `hidden beast` number, since 2 + 8 + 2 + 642 + 4 + 8 = 666.

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.

Its product of digits (49152) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291336 + ... + 291432.

It is an arithmetic number, because the mean of its divisors is an integer number (661500).

Almost surely, 228264248 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 28264248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42336000).

28264248 is an abundant number, since it is smaller than the sum of its proper divisors (56407752).

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

28264248 is a wasteful number, since it uses less digits than its factorization.

28264248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 28264248 is about 5316.4130765019. The cubic root of 28264248 is about 304.6111608512.

The spelling of 28264248 in words is "twenty-eight million, two hundred sixty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 71 72 76 97 108 114 142 152 171 194 213 216 228 284 291 342 388 426 456 513 568 582 639 684 776 852 873 1026 1164 1278 1349 1368 1704 1746 1843 1917 2052 2328 2556 2619 2698 3492 3686 3834 4047 4104 5112 5238 5396 5529 6887 6984 7372 7668 8094 10476 10792 11058 12141 13774 14744 15336 16188 16587 20661 20952 22116 24282 27548 32376 33174 36423 41322 44232 48564 49761 55096 61983 66348 72846 82644 97128 99522 123966 130853 132696 145692 165288 185949 199044 247932 261706 291384 371898 392559 398088 495864 523412 743796 785118 1046824 1177677 1487592 1570236 2355354 3140472 3533031 4710708 7066062 9421416 14132124 28264248