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28089920 = 265412141
BaseRepresentation
bin110101100100…
…1111001000000
31221212010010102
41223021321000
524142334140
62442021532
7460521545
oct153117100
957763112
1028089920
1114946411
1294a78a8
135a86771
143a32bcc
1526ece15
hex1ac9e40

28089920 has 56 divisors (see below), whose sum is σ = 68552568. Its totient is φ = 10956800.

The previous prime is 28089917. The next prime is 28089931. The reversal of 28089920 is 2998082.

It can be written as a sum of positive squares in 4 ways, for example, as 2849344 + 25240576 = 1688^2 + 5024^2 .

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 7 ways as a sum of consecutive naturals, for example, 12050 + ... + 14190.

It is an arithmetic number, because the mean of its divisors is an integer number (1224153).

Almost surely, 228089920 is an apocalyptic number.

28089920 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 28089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34276284).

28089920 is an abundant number, since it is smaller than the sum of its proper divisors (40462648).

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

28089920 is a wasteful number, since it uses less digits than its factorization.

28089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 28089920 is about 5299.9924528248. The cubic root of 28089920 is about 303.9836094579.

The spelling of 28089920 in words is "twenty-eight million, eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2141 2624 3280 4282 6560 8564 10705 13120 17128 21410 34256 42820 68512 85640 87781 137024 171280 175562 342560 351124 438905 685120 702248 877810 1404496 1755620 2808992 3511240 5617984 7022480 14044960 28089920