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28432944 = 243571103
BaseRepresentation
bin110110001110…
…1101000110000
31222111112200000
41230131220300
524234323234
62453230000
7463450611
oct154355060
958445600
1028432944
1115060101
129632300
135b76937
143ac1c08
152769899
hex1b1da30

28432944 has 120 divisors (see below), whose sum is σ = 84494592. Its totient is φ = 9253440.

The previous prime is 28432913. The next prime is 28432981. The reversal of 28432944 is 44923482.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 28432899 and 28432908.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275997 + ... + 276099.

Almost surely, 228432944 is an apocalyptic number.

28432944 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 28432944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42247296).

28432944 is an abundant number, since it is smaller than the sum of its proper divisors (56061648).

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

28432944 is a wasteful number, since it uses less digits than its factorization.

28432944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 179 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 28432944 is about 5332.2550576656. The cubic root of 28432944 is about 305.2159860439.

The spelling of 28432944 in words is "twenty-eight million, four hundred thirty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 81 103 108 142 144 162 206 213 216 243 284 309 324 412 426 432 486 568 618 639 648 824 852 927 972 1136 1236 1278 1296 1648 1704 1854 1917 1944 2472 2556 2781 3408 3708 3834 3888 4944 5112 5562 5751 7313 7416 7668 8343 10224 11124 11502 14626 14832 15336 16686 17253 21939 22248 23004 25029 29252 30672 33372 34506 43878 44496 46008 50058 58504 65817 66744 69012 87756 92016 100116 117008 131634 133488 138024 175512 197451 200232 263268 276048 351024 394902 400464 526536 592353 789804 1053072 1184706 1579608 1777059 2369412 3159216 3554118 4738824 7108236 9477648 14216472 28432944