20287428480 has 896 divisors, whose sum is σ = 81875318400. Its totient is φ = 4762644480.

The previous prime is 20287428451. The next prime is 20287428493. The reversal of 20287428480 is 8482478202.

It is a super-2 number, since 2×20287428480² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 302797407 + ... + 302797473.

Almost surely, 2^20287428480 is an apocalyptic number.

20287428480 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 20287428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40937659200).

20287428480 is an abundant number, since it is smaller than the sum of its proper divisors (61587889920).

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

20287428480 is an equidigital number, since it uses as much as digits as its factorization.

20287428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 20287428480 in words is "twenty billion, two hundred eighty-seven million, four hundred twenty-eight thousand, four hundred eighty".