Search a number
-
+
28977435648 = 2103271947503
BaseRepresentation
bin11010111111001100…
…001001010000000000
32202210111011020210100
4122333030021100000
5433321210420043
621151223002400
72044042065450
oct327714112000
982714136710
1028977435648
1111320009327
125748599400
13296a587535
14158c705d60
15b48e8bcd3
hex6bf309400

28977435648 has 528 divisors, whose sum is σ = 103003729920. Its totient is φ = 7661371392.

The previous prime is 28977435647. The next prime is 28977435649. The reversal of 28977435648 is 84653477982.

28977435648 is a `hidden beast` number, since 28 + 9 + 7 + 7 + 43 + 564 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (28977435647) and next prime (28977435649).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28977435647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57608965 + ... + 57609467.

Almost surely, 228977435648 is an apocalyptic number.

28977435648 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 28977435648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51501864960).

28977435648 is an abundant number, since it is smaller than the sum of its proper divisors (74026294272).

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

28977435648 is a wasteful number, since it uses less digits than its factorization.

28977435648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 581 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 28977435648 in words is "twenty-eight billion, nine hundred seventy-seven million, four hundred thirty-five thousand, six hundred forty-eight".