428072225280 has 320 divisors, whose sum is σ = 1646311772160. Its totient is φ = 92695117824.

The previous prime is 428072225239. The next prime is 428072225323. The reversal of 428072225280 is 82522270824.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 811897 + ... + 1230983.

It is an arithmetic number, because the mean of its divisors is an integer number (5144724288).

Almost surely, 2^428072225280 is an apocalyptic number.

428072225280 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 428072225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823155886080).

428072225280 is an abundant number, since it is smaller than the sum of its proper divisors (1218239546880).

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

428072225280 is a wasteful number, since it uses less digits than its factorization.

428072225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419139 (or 419123 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The spelling of 428072225280 in words is "four hundred twenty-eight billion, seventy-two million, two hundred twenty-five thousand, two hundred eighty".