28138556160 has 1728 divisors, whose sum is σ = 128565964800. Its totient is φ = 5573836800.

The previous prime is 28138556137. The next prime is 28138556183. The reversal of 28138556160 is 6165583182.

28138556160 is a `hidden beast` number, since 2 + 8 + 1 + 3 + 85 + 561 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28138556137) and next prime (28138556183).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 907695345 + ... + 907695375.

It is an arithmetic number, because the mean of its divisors is an integer number (74401600).

Almost surely, 2^28138556160 is an apocalyptic number.

28138556160 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 28138556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64282982400).

28138556160 is an abundant number, since it is smaller than the sum of its proper divisors (100427408640).

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

28138556160 is a wasteful number, since it uses less digits than its factorization.

28138556160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 28138556160 in words is "twenty-eight billion, one hundred thirty-eight million, five hundred fifty-six thousand, one hundred sixty".