Search a number
-
+
28819177920 = 263651321743
BaseRepresentation
bin11010110101110000…
…011100000111000000
32202101110100221000000
4122311300130013000
5433010202143140
621123411000000
72040110653611
oct326560340700
982343327000
1028819177920
1111249746a15
125703599000
132943856b00
1415756abc08
15b3a12aa30
hex6b5c1c1c0

28819177920 has 1176 divisors, whose sum is σ = 120712266576. Its totient is φ = 6521389056.

The previous prime is 28819177901. The next prime is 28819177921. The reversal of 28819177920 is 2977191882.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28819177921) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 670213419 + ... + 670213461.

Almost surely, 228819177920 is an apocalyptic number.

28819177920 is a gapful number since it is divisible by the number (20) 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 28819177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60356133288).

28819177920 is an abundant number, since it is smaller than the sum of its proper divisors (91893088656).

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

28819177920 is a wasteful number, since it uses less digits than its factorization.

28819177920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 28819177920 in words is "twenty-eight billion, eight hundred nineteen million, one hundred seventy-seven thousand, nine hundred twenty".