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28393000 = 235328393
BaseRepresentation
bin110110001001…
…1111000101000
31222102111212121
41230103320220
524232034000
62452321024
7463223266
oct154237050
958374777
1028393000
1115033099
129613174
135b616bc
143ab1436
15275cb1a
hex1b13e28

28393000 has 32 divisors (see below), whose sum is σ = 66441960. Its totient is φ = 11356800.

The previous prime is 28392997. The next prime is 28393003. The reversal of 28393000 is 39382.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28392997) and next prime (28393003).

It can be written as a sum of positive squares in 4 ways, for example, as 17089956 + 11303044 = 4134^2 + 3362^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (28393003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13197 + ... + 15196.

Almost surely, 228393000 is an apocalyptic number.

28393000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28393000 is an abundant number, since it is smaller than the sum of its proper divisors (38048960).

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

28393000 is a wasteful number, since it uses less digits than its factorization.

28393000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28414 (or 28400 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 28393000 is about 5328.5082340182. The cubic root of 28393000 is about 305.0729915783.

The spelling of 28393000 in words is "twenty-eight million, three hundred ninety-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 28393 56786 113572 141965 227144 283930 567860 709825 1135720 1419650 2839300 3549125 5678600 7098250 14196500 28393000