428738019840 has 1440 divisors, whose sum is σ = 1765575567360. Its totient is φ = 98545434624.

The previous prime is 428738019811. The next prime is 428738019877. The reversal of 428738019840 is 48910837824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3375889857 + ... + 3375889983.

It is an arithmetic number, because the mean of its divisors is an integer number (1226094144).

Almost surely, 2^428738019840 is an apocalyptic number.

428738019840 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 428738019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882787783680).

428738019840 is an abundant number, since it is smaller than the sum of its proper divisors (1336837547520).

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

428738019840 is a wasteful number, since it uses less digits than its factorization.

428738019840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 428738019840 in words is "four hundred twenty-eight billion, seven hundred thirty-eight million, nineteen thousand, eight hundred forty".