428947749824 has 112 divisors (see below), whose sum is σ = 944947251072. Its totient is φ = 191568000000.

The previous prime is 428947749823. The next prime is 428947749827.

428947749824 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428947749823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9291599 + ... + 9337649.

Almost surely, 2^428947749824 is an apocalyptic number.

428947749824 is a gapful number since it is divisible by the number (44) 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 428947749824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472473625536).

428947749824 is an abundant number, since it is smaller than the sum of its proper divisors (515999501248).

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

428947749824 is a wasteful number, since it uses less digits than its factorization.

428947749824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46306 (or 46296 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 68.

The spelling of 428947749824 in words is "four hundred twenty-eight billion, nine hundred forty-seven million, seven hundred forty-nine thousand, eight hundred twenty-four".