Search a number
-
+
28077568 = 29293161
BaseRepresentation
bin110101100011…
…0111000000000
31221211111011221
41223012320000
524141440233
62441444424
7460440541
oct153067000
957744157
1028077568
1114938102
1294a0714
135a80c5c
143a2c4c8
1526e942d
hex1ac6e00

28077568 has 80 divisors (see below), whose sum is σ = 60888960. Its totient is φ = 12902400.

The previous prime is 28077563. The next prime is 28077571. The reversal of 28077568 is 86577082.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28077563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 460258 + ... + 460318.

It is an arithmetic number, because the mean of its divisors is an integer number (761112).

Almost surely, 228077568 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 28077568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30444480).

28077568 is an abundant number, since it is smaller than the sum of its proper divisors (32811392).

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

28077568 is an equidigital number, since it uses as much as digits as its factorization.

28077568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 43.

The square root of 28077568 is about 5298.8270400156. The cubic root of 28077568 is about 303.9390459509.

The spelling of 28077568 in words is "twenty-eight million, seventy-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 29 31 32 58 61 62 64 116 122 124 128 232 244 248 256 464 488 496 512 899 928 976 992 1769 1798 1856 1891 1952 1984 3538 3596 3712 3782 3904 3968 7076 7192 7424 7564 7808 7936 14152 14384 14848 15128 15616 15872 28304 28768 30256 31232 54839 56608 57536 60512 109678 113216 115072 121024 219356 226432 230144 242048 438712 452864 460288 484096 877424 905728 968192 1754848 3509696 7019392 14038784 28077568