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28708000 = 25537177
BaseRepresentation
bin110110110000…
…0110010100000
32000000111222021
41231200302200
524322124000
62503151224
7466004536
oct155406240
960014867
1028708000
1115228822
129745514
135c41ba9
143b54156
1527c111a
hex1b60ca0

28708000 has 48 divisors (see below), whose sum is σ = 70545384. Its totient is φ = 11481600.

The previous prime is 28707997. The next prime is 28708007. The reversal of 28708000 is 80782.

It can be written as a sum of positive squares in 4 ways, for example, as 15776784 + 12931216 = 3972^2 + 3596^2 .

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 (28708007) 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, 412 + ... + 7588.

Almost surely, 228708000 is an apocalyptic number.

28708000 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 28708000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35272692).

28708000 is an abundant number, since it is smaller than the sum of its proper divisors (41837384).

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

28708000 is an equidigital number, since it uses as much as digits as its factorization.

28708000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7202 (or 7184 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 28708000 is about 5357.9846957602. The cubic root of 28708000 is about 306.1970337387.

Adding to 28708000 its reverse (80782), we get a palindrome (28788782).

The spelling of 28708000 in words is "twenty-eight million, seven hundred eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 7177 14354 28708 35885 57416 71770 114832 143540 179425 229664 287080 358850 574160 717700 897125 1148320 1435400 1794250 2870800 3588500 5741600 7177000 14354000 28708000