Search a number
-
+
28277932032 = 216347761
BaseRepresentation
bin11010010101011111…
…110000000000000000
32200222201220210020000
4122111133300000000
5430403122311112
620553554120000
72020516312350
oct322537600000
980881823200
1028277932032
1110aa1178969
125592280000
13288869007c
14152385ab60
15b078667dc
hex6957f0000

28277932032 has 340 divisors, whose sum is σ = 96680066736. Its totient is φ = 8068792320.

The previous prime is 28277932027. The next prime is 28277932037. The reversal of 28277932032 is 23023977282.

28277932032 is a `hidden beast` number, since 28 + 277 + 9 + 320 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (28277932027) and next prime (28277932037).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28277932037) 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 19 ways as a sum of consecutive naturals, for example, 37158532 + ... + 37159292.

Almost surely, 228277932032 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 28277932032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48340033368).

28277932032 is an abundant number, since it is smaller than the sum of its proper divisors (68402134704).

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

28277932032 is an frugal number, since it uses more digits than its factorization.

28277932032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 28277932032 in words is "twenty-eight billion, two hundred seventy-seven million, nine hundred thirty-two thousand, thirty-two".