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28822519440 = 243351121317499
BaseRepresentation
bin11010110101111101…
…001011111010010000
32202101200122200201000
4122311331023322100
5433012031110230
621124010342000
72040151241631
oct326575137220
982350580630
1028822519440
1111250619500
12570472a900
132944456a40
141575cdb888
15b3a58ab60
hex6b5f4be90

28822519440 has 960 divisors, whose sum is σ = 124679520000. Its totient is φ = 6058229760.

The previous prime is 28822519393. The next prime is 28822519441. The reversal of 28822519440 is 4491522882.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (28822519441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57760311 + ... + 57760809.

It is an arithmetic number, because the mean of its divisors is an integer number (129874500).

Almost surely, 228822519440 is an apocalyptic number.

28822519440 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 28822519440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62339760000).

28822519440 is an abundant number, since it is smaller than the sum of its proper divisors (95857000560).

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

28822519440 is a wasteful number, since it uses less digits than its factorization.

28822519440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 28822519440 in words is "twenty-eight billion, eight hundred twenty-two million, five hundred nineteen thousand, four hundred forty".