Search a number
-
+
28819770000 = 2435471931233
BaseRepresentation
bin11010110101110010…
…101100101010010000
32202101111111000011220
4122311302230222100
5433010330120000
621123431405040
72040116001030
oct326562545220
982344430156
1028819770000
111124a01083a
125703823780
132943a03458
1415757c38c0
15b3a1e61a0
hex6b5caca90

28819770000 has 800 divisors, whose sum is σ = 116026859520. Its totient is φ = 6013440000.

The previous prime is 28819769983. The next prime is 28819770029. The reversal of 28819770000 is 7791882.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 123689884 + ... + 123690116.

Almost surely, 228819770000 is an apocalyptic number.

28819770000 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 28819770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58013429760).

28819770000 is an abundant number, since it is smaller than the sum of its proper divisors (87207089520).

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

28819770000 is a wasteful number, since it uses less digits than its factorization.

28819770000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The spelling of 28819770000 in words is "twenty-eight billion, eight hundred nineteen million, seven hundred seventy thousand".