Search a number
-
+
28788032 = 267134943
BaseRepresentation
bin110110111010…
…0010101000000
32000011120202102
41231310111000
524332204112
62505005532
7466460060
oct155642500
960146672
1028788032
1115282969
1297838a8
135c6c450
143b753a0
1527d9bc2
hex1b74540

28788032 has 56 divisors (see below), whose sum is σ = 70323456. Its totient is φ = 11386368.

The previous prime is 28788007. The next prime is 28788037. The reversal of 28788032 is 23088782.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28788037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3353 + ... + 8295.

It is an arithmetic number, because the mean of its divisors is an integer number (1255776).

Almost surely, 228788032 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 28788032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35161728).

28788032 is an abundant number, since it is smaller than the sum of its proper divisors (41535424).

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

28788032 is a wasteful number, since it uses less digits than its factorization.

28788032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4975 (or 4965 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 28788032 is about 5365.4479775691. The cubic root of 28788032 is about 306.4813078558.

The spelling of 28788032 in words is "twenty-eight million, seven hundred eighty-eight thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 4943 5824 9886 19772 34601 39544 64259 69202 79088 128518 138404 158176 257036 276808 316352 449813 514072 553616 899626 1028144 1107232 1799252 2056288 2214464 3598504 4112576 7197008 14394016 28788032