Search a number
-
+
28026672 = 2431979389
BaseRepresentation
bin110101011101…
…0011100110000
31221201220100220
41222322130300
524133323142
62440413040
7460136262
oct152723460
957656326
1028026672
1114902943
129477180
135a63a3b
143a17b32
1526d92ec
hex1aba730

28026672 has 80 divisors (see below), whose sum is σ = 77376000. Its totient is φ = 8716032.

The previous prime is 28026643. The next prime is 28026679. The reversal of 28026672 is 27662082.

It is not an unprimeable number, because it can be changed into a prime (28026679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71854 + ... + 72242.

It is an arithmetic number, because the mean of its divisors is an integer number (967200).

Almost surely, 228026672 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 28026672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38688000).

28026672 is an abundant number, since it is smaller than the sum of its proper divisors (49349328).

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

28026672 is a wasteful number, since it uses less digits than its factorization.

28026672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 28026672 is about 5294.0222893373. The cubic root of 28026672 is about 303.7552855183.

The spelling of 28026672 in words is "twenty-eight million, twenty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 79 114 152 158 228 237 304 316 389 456 474 632 778 912 948 1167 1264 1501 1556 1896 2334 3002 3112 3792 4503 4668 6004 6224 7391 9006 9336 12008 14782 18012 18672 22173 24016 29564 30731 36024 44346 59128 61462 72048 88692 92193 118256 122924 177384 184386 245848 354768 368772 491696 583889 737544 1167778 1475088 1751667 2335556 3503334 4671112 7006668 9342224 14013336 28026672