Search a number
-
+
28380596160 = 263572757797
BaseRepresentation
bin11010011011100111…
…011000011111000000
32201020220002122221010
4122123213120133000
5431110413034120
621012102400520
72023204041600
oct323347303700
981226078833
1028380596160
1111044119a54
125600730140
1328a3a27387
141533342c00
15b118957e0
hex69b9d87c0

28380596160 has 336 divisors, whose sum is σ = 105090126624. Its totient is φ = 6470295552.

The previous prime is 28380596117. The next prime is 28380596171. The reversal of 28380596160 is 6169508382.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35608882 + ... + 35609678.

It is an arithmetic number, because the mean of its divisors is an integer number (312768234).

Almost surely, 228380596160 is an apocalyptic number.

28380596160 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 28380596160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52545063312).

28380596160 is an abundant number, since it is smaller than the sum of its proper divisors (76709530464).

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

28380596160 is a wasteful number, since it uses less digits than its factorization.

28380596160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 28380596160 in words is "twenty-eight billion, three hundred eighty million, five hundred ninety-six thousand, one hundred sixty".