Search a number
-
+
28875325440 = 21535134519
BaseRepresentation
bin11010111001000110…
…101000000000000000
32202112101000111220210
4122321012220000000
5433114040403230
621133134234120
72041362134163
oct327106500000
982471014823
1028875325440
1111278406425
12571a355940
1329523853b0
14157cd25ada
15b4001beb0
hex6b91a8000

28875325440 has 256 divisors, whose sum is σ = 99529315200. Its totient is φ = 7106199552.

The previous prime is 28875325417. The next prime is 28875325447. The reversal of 28875325440 is 4452357882.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×288753254402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28875325440.

It is not an unprimeable number, because it can be changed into a prime (28875325447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6387501 + ... + 6392019.

Almost surely, 228875325440 is an apocalyptic number.

28875325440 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 28875325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49764657600).

28875325440 is an abundant number, since it is smaller than the sum of its proper divisors (70653989760).

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

28875325440 is an equidigital number, since it uses as much as digits as its factorization.

28875325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4570 (or 4542 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 48.

The spelling of 28875325440 in words is "twenty-eight billion, eight hundred seventy-five million, three hundred twenty-five thousand, four hundred forty".