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28923972 = 223711231361
BaseRepresentation
bin110111001010…
…1100001000100
32000102111020020
41232111201010
524401031342
62511535140
7500564310
oct156254104
960374206
1028923972
1115366010
12982a4b0
135cb929c
143bacb40
1528150ec
hex1b95844

28923972 has 96 divisors (see below), whose sum is σ = 87865344. Its totient is φ = 7180800.

The previous prime is 28923971. The next prime is 28923997. The reversal of 28923972 is 27932982.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (28923971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20572 + ... + 21932.

It is an arithmetic number, because the mean of its divisors is an integer number (915264).

Almost surely, 228923972 is an apocalyptic number.

28923972 is a gapful number since it is divisible by the number (22) 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 28923972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43932672).

28923972 is an abundant number, since it is smaller than the sum of its proper divisors (58941372).

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

28923972 is a wasteful number, since it uses less digits than its factorization.

28923972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1407 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 28923972 is about 5378.1011518937. The cubic root of 28923972 is about 306.9629624245.

The spelling of 28923972 in words is "twenty-eight million, nine hundred twenty-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 23 28 33 42 44 46 66 69 77 84 92 132 138 154 161 231 253 276 308 322 462 483 506 644 759 924 966 1012 1361 1518 1771 1932 2722 3036 3542 4083 5313 5444 7084 8166 9527 10626 14971 16332 19054 21252 28581 29942 31303 38108 44913 57162 59884 62606 89826 93909 104797 114324 125212 179652 187818 209594 219121 314391 344333 375636 419188 438242 628782 657363 688666 876484 1032999 1257564 1314726 1377332 2065998 2410331 2629452 4131996 4820662 7230993 9641324 14461986 28923972