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28506816 = 26361347
BaseRepresentation
bin110110010111…
…1101011000000
31222122022000000
41230233223000
524244204231
62455000000
7464206152
oct154575300
958568000
1028506816
1115100658
129669000
135ba1450
143b00ad2
1527816e6
hex1b2fac0

28506816 has 196 divisors, whose sum is σ = 93280992. Its totient is φ = 8584704.

The previous prime is 28506811. The next prime is 28506827. The reversal of 28506816 is 61860582.

It is a happy number.

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 (28506811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 606505 + ... + 606551.

Almost surely, 228506816 is an apocalyptic number.

28506816 is a gapful number since it is divisible by the number (26) 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 28506816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46640496).

28506816 is an abundant number, since it is smaller than the sum of its proper divisors (64774176).

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

28506816 is an equidigital number, since it uses as much as digits as its factorization.

28506816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 28506816 is about 5339.1774647412. The cubic root of 28506816 is about 305.4800859905.

The spelling of 28506816 in words is "twenty-eight million, five hundred six thousand, eight hundred sixteen".