28284910006080 has 896 divisors, whose sum is σ = 113764398612480. Its totient is φ = 5795582607360.

The previous prime is 28284910006007. The next prime is 28284910006081. The reversal of 28284910006080 is 8060001948282.

It is a super-2 number, since 2×28284910006080² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28284910006081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 420954247 + ... + 421021433.

It is an arithmetic number, because the mean of its divisors is an integer number (126969194880).

Almost surely, 2^{28284910006080} is an apocalyptic number.

28284910006080 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 28284910006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56882199306240).

28284910006080 is an abundant number, since it is smaller than the sum of its proper divisors (85479488606400).

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

28284910006080 is a wasteful number, since it uses less digits than its factorization.

28284910006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67367 (or 67357 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 28284910006080 in words is "twenty-eight trillion, two hundred eighty-four billion, nine hundred ten million, six thousand, eighty".