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28404144 = 24321741283
BaseRepresentation
bin110110001011…
…0100110110000
31222110002011100
41230112212300
524232413034
62452444400
7463300626
oct154264660
958402140
1028404144
11150404aa
129619700
135b667b2
143ab5516
152761099
hex1b169b0

28404144 has 120 divisors (see below), whose sum is σ = 86525712. Its totient is φ = 8663040.

The previous prime is 28404143. The next prime is 28404169. The reversal of 28404144 is 44140482.

28404144 = T1437 + T1438 + ... + T1463.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (28404143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100227 + ... + 100509.

Almost surely, 228404144 is an apocalyptic number.

28404144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43262856).

28404144 is an abundant number, since it is smaller than the sum of its proper divisors (58121568).

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

28404144 is a wasteful number, since it uses less digits than its factorization.

28404144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 28404144 is about 5329.5538274794. The cubic root of 28404144 is about 305.1128991696.

The spelling of 28404144 in words is "twenty-eight million, four hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 41 48 51 68 72 82 102 123 136 144 153 164 204 246 272 283 306 328 369 408 492 566 612 656 697 738 816 849 984 1132 1224 1394 1476 1698 1968 2091 2264 2448 2547 2788 2952 3396 4182 4528 4811 5094 5576 5904 6273 6792 8364 9622 10188 11152 11603 12546 13584 14433 16728 19244 20376 23206 25092 28866 33456 34809 38488 40752 43299 46412 50184 57732 69618 76976 86598 92824 100368 104427 115464 139236 173196 185648 197251 208854 230928 278472 346392 394502 417708 556944 591753 692784 789004 835416 1183506 1578008 1670832 1775259 2367012 3156016 3550518 4734024 7101036 9468048 14202072 28404144