Search a number
-
+
28444423680 = 293251279721
BaseRepresentation
bin11010011111011010…
…110111011000000000
32201102100012102211100
4122133122313120000
5431223233024210
621022302414400
72024610416631
oct323732673000
981370172740
1028444423680
1111077154572
125619b91400
1328b401453a
14153b9d9888
15b172a25c0
hex69f6b7600

28444423680 has 240 divisors, whose sum is σ = 99296930304. Its totient is φ = 7524679680.

The previous prime is 28444423669. The next prime is 28444423687. The reversal of 28444423680 is 8632444482.

28444423680 is a `hidden beast` number, since 284 + 4 + 4 + 4 + 2 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28444423687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2921220 + ... + 2930940.

Almost surely, 228444423680 is an apocalyptic number.

28444423680 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 28444423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49648465152).

28444423680 is an abundant number, since it is smaller than the sum of its proper divisors (70852506624).

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

28444423680 is a wasteful number, since it uses less digits than its factorization.

28444423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9877 (or 9858 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 28444423680 in words is "twenty-eight billion, four hundred forty-four million, four hundred twenty-three thousand, six hundred eighty".