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28054944 = 2533191709
BaseRepresentation
bin110101100000…
…1010110100000
31221210100011000
41223001112200
524140224234
62441152000
7460314561
oct153012640
957710130
1028054944
1114922105
12948b600
135a73878
143a24168
1526e2899
hex1ac15a0

28054944 has 96 divisors (see below), whose sum is σ = 86184000. Its totient is φ = 8854272.

The previous prime is 28054931. The next prime is 28054951. The reversal of 28054944 is 44945082.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28054899 and 28054908.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15562 + ... + 17270.

It is an arithmetic number, because the mean of its divisors is an integer number (897750).

Almost surely, 228054944 is an apocalyptic number.

28054944 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 28054944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43092000).

28054944 is an abundant number, since it is smaller than the sum of its proper divisors (58129056).

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

28054944 is a wasteful number, since it uses less digits than its factorization.

28054944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 28054944 is about 5296.6917977168. The cubic root of 28054944 is about 303.8573892501.

The spelling of 28054944 in words is "twenty-eight million, fifty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1709 1824 2052 2736 3418 4104 5127 5472 6836 8208 10254 13672 15381 16416 20508 27344 30762 32471 41016 46143 54688 61524 64942 82032 92286 97413 123048 129884 164064 184572 194826 246096 259768 292239 369144 389652 492192 519536 584478 738288 779304 876717 1039072 1168956 1476576 1558608 1753434 2337912 3117216 3506868 4675824 7013736 9351648 14027472 28054944