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28157000 = 235337761
BaseRepresentation
bin110101101101…
…0010001001000
31221222112010212
41223122101020
524202011000
62443300252
7461221244
oct153322110
957875125
1028157000
1114991853
12951a688
135aab161
143a4d424
152712c35
hex1ada448

28157000 has 64 divisors (see below), whose sum is σ = 67757040. Its totient is φ = 10944000.

The previous prime is 28156969. The next prime is 28157027. The reversal of 28157000 is 75182.

It can be written as a sum of positive squares in 8 ways, for example, as 45796 + 28111204 = 214^2 + 5302^2 .

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 15 ways as a sum of consecutive naturals, for example, 36620 + ... + 37380.

Almost surely, 228157000 is an apocalyptic number.

28157000 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 28157000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33878520).

28157000 is an abundant number, since it is smaller than the sum of its proper divisors (39600040).

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

28157000 is a wasteful number, since it uses less digits than its factorization.

28157000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 28157000 is about 5306.3169901543. The cubic root of 28157000 is about 304.2253926350.

The spelling of 28157000 in words is "twenty-eight million, one hundred fifty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 296 370 500 740 761 925 1000 1480 1522 1850 3044 3700 3805 4625 6088 7400 7610 9250 15220 18500 19025 28157 30440 37000 38050 56314 76100 95125 112628 140785 152200 190250 225256 281570 380500 563140 703925 761000 1126280 1407850 2815700 3519625 5631400 7039250 14078500 28157000