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28144464 = 243709827
BaseRepresentation
bin110101101011…
…1001101010000
31221221212221120
41223113031100
524201110324
62443122240
7461136555
oct153271520
957855846
1028144464
1114983397
129513380
135aa553a
143a48a2c
15270e179
hex1ad7350

28144464 has 40 divisors (see below), whose sum is σ = 72897120. Its totient is φ = 9356928.

The previous prime is 28144463. The next prime is 28144477. The reversal of 28144464 is 46444182.

It is a super-2 number, since 2×281444642 = 1584221707694592, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28144463) 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 7 ways as a sum of consecutive naturals, for example, 33619 + ... + 34445.

It is an arithmetic number, because the mean of its divisors is an integer number (1822428).

Almost surely, 228144464 is an apocalyptic number.

28144464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28144464 is an abundant number, since it is smaller than the sum of its proper divisors (44752656).

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

28144464 is a wasteful number, since it uses less digits than its factorization.

28144464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1541 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 28144464 is about 5305.1356250335. The cubic root of 28144464 is about 304.1802370710.

The spelling of 28144464 in words is "twenty-eight million, one hundred forty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 709 827 1418 1654 2127 2481 2836 3308 4254 4962 5672 6616 8508 9924 11344 13232 17016 19848 34032 39696 586343 1172686 1759029 2345372 3518058 4690744 7036116 9381488 14072232 28144464