Search a number
-
+
28962954240 = 21035112329257
BaseRepresentation
bin11010111110010100…
…111001110000000000
32202202110220112000220
4122332110321300000
5433304004013430
621145544343040
72043505022553
oct327624716000
982673815026
1028962954240
1111312918220
125743774a80
132967586c5c
14158a81669a
15b47a7b110
hex6be539c00

28962954240 has 704 divisors, whose sum is σ = 109512207360. Its totient is φ = 6459228160.

The previous prime is 28962954199. The next prime is 28962954271. The reversal of 28962954240 is 4245926982.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112696192 + ... + 112696448.

Almost surely, 228962954240 is an apocalyptic number.

28962954240 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 28962954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54756103680).

28962954240 is an abundant number, since it is smaller than the sum of its proper divisors (80549253120).

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

28962954240 is a wasteful number, since it uses less digits than its factorization.

28962954240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 28962954240 in words is "twenty-eight billion, nine hundred sixty-two million, nine hundred fifty-four thousand, two hundred forty".