Search a number
-
+
28783879488 = 263274131601
BaseRepresentation
bin11010110011101001…
…110010010101000000
32202021222221120122200
4122303221302111000
5432422133120423
621120110233200
72036201640000
oct326351622500
982258846580
1028783879488
1111230827761
1256b37b5800
132939448270
141570b20000
15b36ea6d43
hex6b3a72540

28783879488 has 420 divisors, whose sum is σ = 103717187028. Its totient is φ = 7586611200.

The previous prime is 28783879459. The next prime is 28783879489. The reversal of 28783879488 is 88497838782.

28783879488 is a `hidden beast` number, since 2 + 8 + 78 + 3 + 8 + 79 + 488 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19256557824 + 9527321664 = 138768^2 + 97608^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28783879489) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17977888 + ... + 17979488.

Almost surely, 228783879488 is an apocalyptic number.

28783879488 is a gapful number since it is divisible by the number (28) 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 28783879488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51858593514).

28783879488 is an abundant number, since it is smaller than the sum of its proper divisors (74933307540).

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

28783879488 is a wasteful number, since it uses less digits than its factorization.

28783879488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1626 counting only the distinct ones).

The product of its digits is 346816512, while the sum is 72.

The spelling of 28783879488 in words is "twenty-eight billion, seven hundred eighty-three million, eight hundred seventy-nine thousand, four hundred eighty-eight".