Search a number
-
+
28785984 = 263313479
BaseRepresentation
bin110110111001…
…1110101000000
32000011110221120
41231303311000
524332122414
62504552240
7466451103
oct155636500
960143846
1028785984
1115281377
129782680
135c6b536
143b7473a
1527d92a9
hex1b73d40

28785984 has 56 divisors (see below), whose sum is σ = 76565760. Its totient is φ = 9544704.

The previous prime is 28785983. The next prime is 28786001. The reversal of 28785984 is 48958782.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28785983) 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 7 ways as a sum of consecutive naturals, for example, 59857 + ... + 60335.

Almost surely, 228785984 is an apocalyptic number.

28785984 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 28785984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38282880).

28785984 is an abundant number, since it is smaller than the sum of its proper divisors (47779776).

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

28785984 is a wasteful number, since it uses less digits than its factorization.

28785984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 797 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 51.

The square root of 28785984 is about 5365.2571233819. The cubic root of 28785984 is about 306.4740399211.

The spelling of 28785984 in words is "twenty-eight million, seven hundred eighty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 313 479 626 939 958 1252 1437 1878 1916 2504 2874 3756 3832 5008 5748 7512 7664 10016 11496 15024 15328 20032 22992 30048 30656 45984 60096 91968 149927 299854 449781 599708 899562 1199416 1799124 2398832 3598248 4797664 7196496 9595328 14392992 28785984