Search a number
-
+
28574208 = 29341353
BaseRepresentation
bin110110100000…
…0001000000000
31222202201110000
41231000020000
524303333313
62500240000
7464606505
oct155001000
958681400
1028574208
1115147253
1296a0000
135bc6020
143b1b4ac
152796673
hex1b40200

28574208 has 200 divisors, whose sum is σ = 93579948. Its totient is φ = 8626176.

The previous prime is 28574191. The next prime is 28574209. The reversal of 28574208 is 80247582.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28387584 + 186624 = 5328^2 + 432^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28574209) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 539110 + ... + 539162.

Almost surely, 228574208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28574208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46789974).

28574208 is an abundant number, since it is smaller than the sum of its proper divisors (65005740).

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

28574208 is an equidigital number, since it uses as much as digits as its factorization.

28574208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 28574208 is about 5345.4848236619. The cubic root of 28574208 is about 305.7206215907.

It can be divided in two parts, 28574 and 208, that added together give a palindrome (28782).

The spelling of 28574208 in words is "twenty-eight million, five hundred seventy-four thousand, two hundred eight".