428802887156448 has 192 divisors, whose sum is σ = 1291074884370432. Its totient is φ = 122070789434880.

The previous prime is 428802887156411. The next prime is 428802887156461. The reversal of 428802887156448 is 844651788208824.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 428802887156448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2150981065 + ... + 2151180407.

It is an arithmetic number, because the mean of its divisors is an integer number (6724348356096).

Almost surely, 2^{428802887156448} is an apocalyptic number.

428802887156448 is a gapful number since it is divisible by the number (48) 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 428802887156448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645537442185216).

428802887156448 is an abundant number, since it is smaller than the sum of its proper divisors (862271997213984).

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

428802887156448 is a wasteful number, since it uses less digits than its factorization.

428802887156448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210957 (or 210949 counting only the distinct ones).

The product of its (nonzero) digits is 1761607680, while the sum is 75.

The spelling of 428802887156448 in words is "four hundred twenty-eight trillion, eight hundred two billion, eight hundred eighty-seven million, one hundred fifty-six thousand, four hundred forty-eight".