[go: up one dir, main page]

Search a number
-
+
28377216 = 273471723
BaseRepresentation
bin110110001000…
…0000010000000
31222101201020000
41230100002000
524231032331
62452120000
7463126260
oct154200200
958351200
1028377216
111502224a
129606000
135b5746a
143aa97a0
1527580e6
hex1b10080

28377216 has 320 divisors, whose sum is σ = 106634880. Its totient is φ = 7299072.

The previous prime is 28377211. The next prime is 28377227. The reversal of 28377216 is 61277382.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28377211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1233781 + ... + 1233803.

It is an arithmetic number, because the mean of its divisors is an integer number (333234).

Almost surely, 228377216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28377216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53317440).

28377216 is an abundant number, since it is smaller than the sum of its proper divisors (78257664).

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

28377216 is a wasteful number, since it uses less digits than its factorization.

28377216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 52 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 28377216 is about 5327.0269381710. The cubic root of 28377216 is about 305.0164498877.

The spelling of 28377216 in words is "twenty-eight million, three hundred seventy-seven thousand, two hundred sixteen".