1428225888048 has 80 divisors (see below), whose sum is σ = 3777787432320. Its totient is φ = 464708224512.

The previous prime is 1428225888013. The next prime is 1428225888073. The reversal of 1428225888048 is 8408885228241.

It is a junction number, because it is equal to n+sod(n) for n = 1428225887982 and 1428225888000.

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, 3039940 + ... + 3478172.

It is an arithmetic number, because the mean of its divisors is an integer number (47222342904).

Almost surely, 2^{1428225888048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1428225888048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888893716160).

1428225888048 is an abundant number, since it is smaller than the sum of its proper divisors (2349561544272).

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

1428225888048 is a wasteful number, since it uses less digits than its factorization.

1428225888048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439866 (or 439860 counting only the distinct ones).

The product of its (nonzero) digits is 20971520, while the sum is 60.

The spelling of 1428225888048 in words is "one trillion, four hundred twenty-eight billion, two hundred twenty-five million, eight hundred eighty-eight thousand, forty-eight".