Search a number
-
+
28072368 = 2432383509
BaseRepresentation
bin110101100010…
…1100110110000
31221211020001100
41223011212300
524141303433
62441404400
7460416432
oct153054660
957736040
1028072368
1114934205
129499700
135a7b78c
143a2a652
1526e7b13
hex1ac59b0

28072368 has 60 divisors (see below), whose sum is σ = 78923520. Its totient is φ = 9314688.

The previous prime is 28072361. The next prime is 28072379. The reversal of 28072368 is 86327082.

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 (28072361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54898 + ... + 55406.

It is an arithmetic number, because the mean of its divisors is an integer number (1315392).

Almost surely, 228072368 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 28072368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39461760).

28072368 is an abundant number, since it is smaller than the sum of its proper divisors (50851152).

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

28072368 is a wasteful number, since it uses less digits than its factorization.

28072368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 28072368 is about 5298.3363426646. The cubic root of 28072368 is about 303.9202814978.

The spelling of 28072368 in words is "twenty-eight million, seventy-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 383 509 766 1018 1149 1527 1532 2036 2298 3054 3064 3447 4072 4581 4596 6108 6128 6894 8144 9162 9192 12216 13788 18324 18384 24432 27576 36648 55152 73296 194947 389894 584841 779788 1169682 1559576 1754523 2339364 3119152 3509046 4678728 7018092 9357456 14036184 28072368