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28320192 = 2636607
BaseRepresentation
bin110110000001…
…0000111000000
31222021211000000
41230002013000
524222221232
62451000000
7462501105
oct154020700
958254000
1028320192
1114a9341a
129599000
135b37514
143a92aac
15274627c
hex1b021c0

28320192 has 98 divisors (see below), whose sum is σ = 84397088. Its totient is φ = 9424512.

The previous prime is 28320191. The next prime is 28320197. The reversal of 28320192 is 29102382.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28320191) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 46353 + ... + 46959.

Almost surely, 228320192 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 28320192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42198544).

28320192 is an abundant number, since it is smaller than the sum of its proper divisors (56076896).

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

28320192 is an frugal number, since it uses more digits than its factorization.

28320192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 28320192 is about 5321.6719177341. The cubic root of 28320192 is about 304.8120027513.

The spelling of 28320192 in words is "twenty-eight million, three hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 607 648 729 864 972 1214 1296 1458 1728 1821 1944 2428 2592 2916 3642 3888 4856 5184 5463 5832 7284 7776 9712 10926 11664 14568 15552 16389 19424 21852 23328 29136 32778 38848 43704 46656 49167 58272 65556 87408 98334 116544 131112 147501 174816 196668 262224 295002 349632 393336 442503 524448 590004 786672 885006 1048896 1180008 1573344 1770012 2360016 3146688 3540024 4720032 7080048 9440064 14160096 28320192