Search a number
-
+
28597000 = 235328597
BaseRepresentation
bin110110100010…
…1101100001000
31222210212201011
41231011230020
524310101000
62500533304
7465033115
oct155055410
958725634
1028597000
1115162393
1296b1234
135c03503
143b2590c
15279d2ba
hex1b45b08

28597000 has 32 divisors (see below), whose sum is σ = 66919320. Its totient is φ = 11438400.

The previous prime is 28596989. The next prime is 28597001. The reversal of 28597000 is 79582.

It can be written as a sum of positive squares in 4 ways, for example, as 18369796 + 10227204 = 4286^2 + 3198^2 .

It is not an unprimeable number, because it can be changed into a prime (28597001) by changing a digit.

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, 13299 + ... + 15298.

Almost surely, 228597000 is an apocalyptic number.

28597000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28597000 is an abundant number, since it is smaller than the sum of its proper divisors (38322320).

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

28597000 is a wasteful number, since it uses less digits than its factorization.

28597000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28618 (or 28604 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 28597000 is about 5347.6162913956. The cubic root of 28597000 is about 305.8018852321.

The spelling of 28597000 in words is "twenty-eight million, five hundred ninety-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 28597 57194 114388 142985 228776 285970 571940 714925 1143880 1429850 2859700 3574625 5719400 7149250 14298500 28597000