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28928520 = 23325107751
BaseRepresentation
bin110111001011…
…0101000001000
32000102201110200
41232112220020
524401203040
62512012200
7500613465
oct156265010
960381420
1028928520
1115369475
129831060
135cbb38a
143bb066c
152816630
hex1b96a08

28928520 has 96 divisors (see below), whose sum is σ = 95022720. Its totient is φ = 7632000.

The previous prime is 28928519. The next prime is 28928531. The reversal of 28928520 is 2582982.

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

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 23 ways as a sum of consecutive naturals, for example, 38145 + ... + 38895.

It is an arithmetic number, because the mean of its divisors is an integer number (989820).

Almost surely, 228928520 is an apocalyptic number.

28928520 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 28928520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47511360).

28928520 is an abundant number, since it is smaller than the sum of its proper divisors (66094200).

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

28928520 is a wasteful number, since it uses less digits than its factorization.

28928520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 28928520 is about 5378.5239610882. The cubic root of 28928520 is about 306.9790505144.

The spelling of 28928520 in words is "twenty-eight million, nine hundred twenty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 107 120 180 214 321 360 428 535 642 751 856 963 1070 1284 1502 1605 1926 2140 2253 2568 3004 3210 3755 3852 4280 4506 4815 6008 6420 6759 7510 7704 9012 9630 11265 12840 13518 15020 18024 19260 22530 27036 30040 33795 38520 45060 54072 67590 80357 90120 135180 160714 241071 270360 321428 401785 482142 642856 723213 803570 964284 1205355 1446426 1607140 1928568 2410710 2892852 3214280 3616065 4821420 5785704 7232130 9642840 14464260 28928520