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28467920 = 2451331883
BaseRepresentation
bin110110010011…
…0001011010000
31222120022122102
41230212023100
524241433140
62454055532
7463654565
oct154461320
958508572
1028467920
1115084408
12964a5a8
135b89830
143ad086c
152774e15
hex1b262d0

28467920 has 80 divisors (see below), whose sum is σ = 73661952. Its totient is φ = 10160640.

The previous prime is 28467919. The next prime is 28467931. The reversal of 28467920 is 2976482.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31799 + ... + 32681.

Almost surely, 228467920 is an apocalyptic number.

28467920 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 28467920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36830976).

28467920 is an abundant number, since it is smaller than the sum of its proper divisors (45194032).

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

28467920 is a wasteful number, since it uses less digits than its factorization.

28467920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 28467920 is about 5335.5337127601. The cubic root of 28467920 is about 305.3410857643.

The spelling of 28467920 in words is "twenty-eight million, four hundred sixty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 806 883 1040 1240 1612 1766 2015 2480 3224 3532 4030 4415 6448 7064 8060 8830 11479 14128 16120 17660 22958 27373 32240 35320 45916 54746 57395 70640 91832 109492 114790 136865 183664 218984 229580 273730 355849 437968 459160 547460 711698 918320 1094920 1423396 1779245 2189840 2846792 3558490 5693584 7116980 14233960 28467920