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28590000 = 24354953
BaseRepresentation
bin110110100001…
…1111110110000
31222210112002220
41231003332300
524304340000
62500441040
7465003525
oct155037660
958715086
1028590000
11151580aa
1296a9180
135c0027a
143b2314c
15279b1a0
hex1b43fb0

28590000 has 100 divisors (see below), whose sum is σ = 92389176. Its totient is φ = 7616000.

The previous prime is 28589993. The next prime is 28590007. The reversal of 28590000 is 9582.

It is an interprime number because it is at equal distance from previous prime (28589993) and next prime (28590007).

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (28590007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29524 + ... + 30476.

Almost surely, 228590000 is an apocalyptic number.

28590000 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 28590000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46194588).

28590000 is an abundant number, since it is smaller than the sum of its proper divisors (63799176).

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

28590000 is an equidigital number, since it uses as much as digits as its factorization.

28590000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 28590000 is about 5346.9617541179. The cubic root of 28590000 is about 305.7769317069.

Adding to 28590000 its reverse (9582), we get a palindrome (28599582).

The spelling of 28590000 in words is "twenty-eight million, five hundred ninety thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 953 1000 1200 1250 1500 1875 1906 2000 2500 2859 3000 3750 3812 4765 5000 5718 6000 7500 7624 9530 10000 11436 14295 15000 15248 19060 22872 23825 28590 30000 38120 45744 47650 57180 71475 76240 95300 114360 119125 142950 190600 228720 238250 285900 357375 381200 476500 571800 595625 714750 953000 1143600 1191250 1429500 1786875 1906000 2382500 2859000 3573750 4765000 5718000 7147500 9530000 14295000 28590000