Search a number
-
+
28227178286560 = 25511711675932281
BaseRepresentation
bin1100110101100001001101…
…11011110100110111100000
310200221111021120212121020101
412122300212323310313200
512144433230120132220
6140011215305152144
75642226535432201
oct632604673646740
9120844246777211
1028227178286560
118aa3096297420
1231ba748a8b654
131299a71acb916
146d82ba38d5a8
1533e3c12c130a
hex19ac26ef4de0

28227178286560 has 384 divisors, whose sum is σ = 74373275547648. Its totient is φ = 10037895168000.

The previous prime is 28227178286557. The next prime is 28227178286563. The reversal of 28227178286560 is 6568287172282.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28227178286557) and next prime (28227178286563).

It is a junction number, because it is equal to n+sod(n) for n = 28227178286492 and 28227178286501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28227178286563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12374912620 + ... + 12374914900.

It is an arithmetic number, because the mean of its divisors is an integer number (193680405072).

Almost surely, 228227178286560 is an apocalyptic number.

28227178286560 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 28227178286560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37186637773824).

28227178286560 is an abundant number, since it is smaller than the sum of its proper divisors (46146097261088).

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

28227178286560 is a wasteful number, since it uses less digits than its factorization.

28227178286560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 64.

The spelling of 28227178286560 in words is "twenty-eight trillion, two hundred twenty-seven billion, one hundred seventy-eight million, two hundred eighty-six thousand, five hundred sixty".