Search a number
-
+
28791189504 = 21234731123
BaseRepresentation
bin11010110100000101…
…101011000000000000
32202022111200222010000
4122310011223000000
5432431021031004
621120531040000
72036321034000
oct326405530000
982274628100
1028791189504
111123496a8a0
1256b6140000
13293ab0760c
141571aa4000
15b3794cc39
hex6b416b000

28791189504 has 1040 divisors, whose sum is σ = 114175987200. Its totient is φ = 7153090560.

The previous prime is 28791189487. The next prime is 28791189533. The reversal of 28791189504 is 40598119782.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1251790837 + ... + 1251790859.

Almost surely, 228791189504 is an apocalyptic number.

28791189504 is a gapful number since it is divisible by the number (24) 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 28791189504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57087993600).

28791189504 is an abundant number, since it is smaller than the sum of its proper divisors (85384797696).

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

28791189504 is an equidigital number, since it uses as much as digits as its factorization.

28791189504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 28791189504 in words is "twenty-eight billion, seven hundred ninety-one million, one hundred eighty-nine thousand, five hundred four".