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28348384 = 251731412
BaseRepresentation
bin110110000100…
…0111111100000
31222100020200011
41230020333200
524224122014
62451334304
7462646231
oct154107740
958306604
1028348384
1115002619
1295b1394
135b472bc
143a9d088
15274e7c4
hex1b08fe0

28348384 has 72 divisors (see below), whose sum is σ = 62524224. Its totient is φ = 12595200.

The previous prime is 28348357. The next prime is 28348387. The reversal of 28348384 is 48384382.

It is a super-2 number, since 2×283483842 = 1607261750822912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28348387) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 691404 + ... + 691444.

It is an arithmetic number, because the mean of its divisors is an integer number (868392).

Almost surely, 228348384 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 28348384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31262112).

28348384 is an abundant number, since it is smaller than the sum of its proper divisors (34175840).

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

28348384 is a wasteful number, since it uses less digits than its factorization.

28348384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 91 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The square root of 28348384 is about 5324.3200504853. The cubic root of 28348384 is about 304.9131132959.

The spelling of 28348384 in words is "twenty-eight million, three hundred forty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 31 32 34 41 62 68 82 124 136 164 248 272 328 496 527 544 656 697 992 1054 1271 1312 1394 1681 2108 2542 2788 3362 4216 5084 5576 6724 8432 10168 11152 13448 16864 20336 21607 22304 26896 28577 40672 43214 52111 53792 57154 86428 104222 114308 172856 208444 228616 345712 416888 457232 691424 833776 885887 914464 1667552 1771774 3543548 7087096 14174192 28348384