428502720240 has 480 divisors, whose sum is σ = 1721544814080. Its totient is φ = 97024822272.

The previous prime is 428502720187. The next prime is 428502720271. The reversal of 428502720240 is 42027205824.

428502720240 is a `hidden beast` number, since 42 + 8 + 502 + 72 + 0 + 2 + 40 = 666.

It is a super-2 number, since 2×428502720240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 428502720195 and 428502720204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14545846 + ... + 14575274.

It is an arithmetic number, because the mean of its divisors is an integer number (3586551696).

Almost surely, 2^428502720240 is an apocalyptic number.

428502720240 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 428502720240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860772407040).

428502720240 is an abundant number, since it is smaller than the sum of its proper divisors (1293042093840).

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

428502720240 is a wasteful number, since it uses less digits than its factorization.

428502720240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29571 (or 29553 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 428502720240 in words is "four hundred twenty-eight billion, five hundred two million, seven hundred twenty thousand, two hundred forty".