Search a number
-
+
28529064 = 2333269491
BaseRepresentation
bin110110011010…
…1000110101000
31222200102112000
41230311012220
524300412224
62455251000
7464331054
oct154650650
958612460
1028529064
1115116343
129679a60
135bab605
143b08c64
1527880c9
hex1b351a8

28529064 has 64 divisors (see below), whose sum is σ = 79704000. Its totient is φ = 9455040.

The previous prime is 28529041. The next prime is 28529101. The reversal of 28529064 is 46092582.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57859 + ... + 58349.

It is an arithmetic number, because the mean of its divisors is an integer number (1245375).

Almost surely, 228529064 is an apocalyptic number.

28529064 is a gapful number since it is divisible by the number (24) 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 28529064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39852000).

28529064 is an abundant number, since it is smaller than the sum of its proper divisors (51174936).

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

28529064 is a wasteful number, since it uses less digits than its factorization.

28529064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 28529064 is about 5341.2605253816. The cubic root of 28529064 is about 305.5595354535.

The spelling of 28529064 in words is "twenty-eight million, five hundred twenty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 269 491 538 807 982 1076 1473 1614 1964 2152 2421 2946 3228 3928 4419 4842 5892 6456 7263 8838 9684 11784 13257 14526 17676 19368 26514 29052 35352 53028 58104 106056 132079 264158 396237 528316 792474 1056632 1188711 1584948 2377422 3169896 3566133 4754844 7132266 9509688 14264532 28529064