428972544000 has 3328 divisors, whose sum is σ = 2198218014720. Its totient is φ = 79626240000.

The previous prime is 428972543983. The next prime is 428972544019. The reversal of 428972544000 is 445279824.

It is a tau number, because it is divible by the number of its divisors (3328).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13837823985 + ... + 13837824015.

It is an arithmetic number, because the mean of its divisors is an integer number (660522240).

Almost surely, 2^428972544000 is an apocalyptic number.

428972544000 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 428972544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099109007360).

428972544000 is an abundant number, since it is smaller than the sum of its proper divisors (1769245470720).

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

428972544000 is a wasteful number, since it uses less digits than its factorization.

428972544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 428972544000 in words is "four hundred twenty-eight billion, nine hundred seventy-two million, five hundred forty-four thousand".