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28363392 = 273329283
BaseRepresentation
bin110110000110…
…0101010000000
31222101000021000
41230030222000
524230112032
62451532000
7463041051
oct154145200
958330230
1028363392
1115012922
1295ba000
135b51095
143aa4728
152753e7c
hex1b0ca80

28363392 has 128 divisors (see below), whose sum is σ = 86904000. Its totient is φ = 9096192.

The previous prime is 28363381. The next prime is 28363397. The reversal of 28363392 is 29336382.

It is a tau number, because it is divible by the number of its divisors (128).

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 not an unprimeable number, because it can be changed into a prime (28363397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100083 + ... + 100365.

Almost surely, 228363392 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 28363392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43452000).

28363392 is an abundant number, since it is smaller than the sum of its proper divisors (58540608).

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

28363392 is a wasteful number, since it uses less digits than its factorization.

28363392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 317 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 28363392 is about 5325.7292458404. The cubic root of 28363392 is about 304.9669121143.

The spelling of 28363392 in words is "twenty-eight million, three hundred sixty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 261 283 288 348 384 432 464 522 566 576 696 783 849 864 928 1044 1132 1152 1392 1566 1698 1728 1856 2088 2264 2547 2784 3132 3396 3456 3712 4176 4528 5094 5568 6264 6792 7641 8207 8352 9056 10188 11136 12528 13584 15282 16414 16704 18112 20376 24621 25056 27168 30564 32828 33408 36224 40752 49242 50112 54336 61128 65656 73863 81504 98484 100224 108672 122256 131312 147726 163008 196968 221589 244512 262624 295452 326016 393936 443178 489024 525248 590904 787872 886356 978048 1050496 1181808 1575744 1772712 2363616 3151488 3545424 4727232 7090848 9454464 14181696 28363392