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28412544 = 273233217
BaseRepresentation
bin110110001100…
…0101010000000
31222110111200110
41230120222000
524233200134
62452551320
7463334256
oct154305200
958414613
1028412544
1115046846
129622540
135b6a574
143ab85d6
1527637e9
hex1b18a80

28412544 has 64 divisors (see below), whose sum is σ = 78776640. Its totient is φ = 9056256.

The previous prime is 28412537. The next prime is 28412557. The reversal of 28412544 is 44521482.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7224 + ... + 10440.

It is an arithmetic number, because the mean of its divisors is an integer number (1230885).

Almost surely, 228412544 is an apocalyptic number.

28412544 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 28412544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39388320).

28412544 is an abundant number, since it is smaller than the sum of its proper divisors (50364096).

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

28412544 is a wasteful number, since it uses less digits than its factorization.

28412544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257 (or 3245 counting only the distinct ones).

The product of its digits is 10240, while the sum is 30.

The square root of 28412544 is about 5330.3418276880. The cubic root of 28412544 is about 305.1429733699.

The spelling of 28412544 in words is "twenty-eight million, four hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 3217 4416 6434 8832 9651 12868 19302 25736 38604 51472 73991 77208 102944 147982 154416 205888 221973 295964 308832 411776 443946 591928 617664 887892 1183856 1235328 1775784 2367712 3551568 4735424 7103136 9470848 14206272 28412544