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28169440 = 2551329467
BaseRepresentation
bin110101101110…
…1010011100000
31222000011012121
41223131103200
524202410230
62443434024
7461302435
oct153352340
958004177
1028169440
11149a0132
129525914
135ab3a10
143a53b8c
15271677a
hex1add4e0

28169440 has 96 divisors (see below), whose sum is σ = 74299680. Its totient is φ = 10020864.

The previous prime is 28169437. The next prime is 28169461. The reversal of 28169440 is 4496182.

It is a junction number, because it is equal to n+sod(n) for n = 28169396 and 28169405.

It is a congruent number.

It is an unprimeable number.

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, 60087 + ... + 60553.

It is an arithmetic number, because the mean of its divisors is an integer number (773955).

Almost surely, 228169440 is an apocalyptic number.

28169440 is a gapful number since it is divisible by the number (20) 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 28169440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37149840).

28169440 is an abundant number, since it is smaller than the sum of its proper divisors (46130240).

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

28169440 is a wasteful number, since it uses less digits than its factorization.

28169440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 28169440 is about 5307.4890485050. The cubic root of 28169440 is about 304.2701891530.

The spelling of 28169440 in words is "twenty-eight million, one hundred sixty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 65 80 104 116 130 145 160 208 232 260 290 377 416 464 467 520 580 754 928 934 1040 1160 1508 1868 1885 2080 2320 2335 3016 3736 3770 4640 4670 6032 6071 7472 7540 9340 12064 12142 13543 14944 15080 18680 24284 27086 30160 30355 37360 48568 54172 60320 60710 67715 74720 97136 108344 121420 135430 176059 194272 216688 242840 270860 352118 433376 485680 541720 704236 880295 971360 1083440 1408472 1760590 2166880 2816944 3521180 5633888 7042360 14084720 28169440