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28190430 = 23751289
BaseRepresentation
bin110101110001…
…0011011011110
31222001020000000
41223202123132
524204043210
62444115130
7461420562
oct153423336
958036000
1028190430
1114a04984
129535aa6
135ac0438
143a5b6a2
15271cac0
hex1ae26de

28190430 has 64 divisors (see below), whose sum is σ = 76161600. Its totient is φ = 7511616.

The previous prime is 28190429. The next prime is 28190443. The reversal of 28190430 is 3409182.

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

It is a junction number, because it is equal to n+sod(n) for n = 28190394 and 28190403.

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, 21226 + ... + 22514.

It is an arithmetic number, because the mean of its divisors is an integer number (1190025).

Almost surely, 228190430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28190430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38080800).

28190430 is an abundant number, since it is smaller than the sum of its proper divisors (47971170).

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

28190430 is an equidigital number, since it uses as much as digits as its factorization.

28190430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1299 counting only the distinct ones).

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

The square root of 28190430 is about 5309.4660748516. The cubic root of 28190430 is about 304.3457443839.

The spelling of 28190430 in words is "twenty-eight million, one hundred ninety thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1289 1458 2187 2430 2578 3645 3867 4374 6445 7290 7734 10935 11601 12890 19335 21870 23202 34803 38670 58005 69606 104409 116010 174015 208818 313227 348030 522045 626454 939681 1044090 1566135 1879362 2819043 3132270 4698405 5638086 9396810 14095215 28190430