428587115520 has 176 divisors, whose sum is σ = 1371360957120. Its totient is φ = 114243895296.

The previous prime is 428587115491. The next prime is 428587115543. The reversal of 428587115520 is 25511785824.

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

It is a self number, because there is not a number n which added to its sum of digits gives 428587115520.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56966479 + ... + 56974001.

It is an arithmetic number, because the mean of its divisors is an integer number (7791823620).

Almost surely, 2^428587115520 is an apocalyptic number.

428587115520 is a gapful number since it is divisible by the number (40) 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 428587115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685680478560).

428587115520 is an abundant number, since it is smaller than the sum of its proper divisors (942773841600).

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

428587115520 is a wasteful number, since it uses less digits than its factorization.

428587115520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11260 (or 11242 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 48.

The spelling of 428587115520 in words is "four hundred twenty-eight billion, five hundred eighty-seven million, one hundred fifteen thousand, five hundred twenty".