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28351700 = 225213113193
BaseRepresentation
bin110110000100…
…1110011010100
31222100102012222
41230021303110
524224223300
62451401512
7462662006
oct154116324
958312188
1028351700
1115005063
1295b3298
135b48970
143aa0376
152750785
hex1b09cd4

28351700 has 72 divisors (see below), whose sum is σ = 67188408. Its totient is φ = 10321920.

The previous prime is 28351643. The next prime is 28351703. The reversal of 28351700 is 715382.

It can be written as a sum of positive squares in 12 ways, for example, as 24462916 + 3888784 = 4946^2 + 1972^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 28351700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28351703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146804 + ... + 146996.

Almost surely, 228351700 is an apocalyptic number.

28351700 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 28351700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33594204).

28351700 is an abundant number, since it is smaller than the sum of its proper divisors (38836708).

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

28351700 is a wasteful number, since it uses less digits than its factorization.

28351700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 28351700 is about 5324.6314426446. The cubic root of 28351700 is about 304.9250017156.

The spelling of 28351700 in words is "twenty-eight million, three hundred fifty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 113 130 193 226 260 325 386 452 565 650 772 965 1130 1300 1469 1930 2260 2509 2825 2938 3860 4825 5018 5650 5876 7345 9650 10036 11300 12545 14690 19300 21809 25090 29380 36725 43618 50180 62725 73450 87236 109045 125450 146900 218090 250900 283517 436180 545225 567034 1090450 1134068 1417585 2180900 2835170 5670340 7087925 14175850 28351700