Search a number
-
+
28418977008 = 243419323139
BaseRepresentation
bin11010011101111001…
…110010110011110000
32201100120022121120000
4122131321302303300
5431200224231013
621015553150000
72024151214242
oct323571626360
981316277500
1028418977008
1111063854064
12561155b300
1328ab974c36
141538494092
15b14e27973
hex69de72cf0

28418977008 has 400 divisors, whose sum is σ = 91248326400. Its totient is φ = 8522464896.

The previous prime is 28418977003. The next prime is 28418977019. The reversal of 28418977008 is 80077981482.

It is a happy number.

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 (28418977003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 204453003 + ... + 204453141.

It is an arithmetic number, because the mean of its divisors is an integer number (228120816).

Almost surely, 228418977008 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 28418977008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45624163200).

28418977008 is an abundant number, since it is smaller than the sum of its proper divisors (62829349392).

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

28418977008 is a wasteful number, since it uses less digits than its factorization.

28418977008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 28418977008 in words is "twenty-eight billion, four hundred eighteen million, nine hundred seventy-seven thousand, eight".