428462003760 has 960 divisors, whose sum is σ = 1692814795776. Its totient is φ = 87491543040.

The previous prime is 428462003759. The next prime is 428462003797. The reversal of 428462003760 is 67300264824.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1838892604 + ... + 1838892836.

Almost surely, 2^428462003760 is an apocalyptic number.

428462003760 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 428462003760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846407397888).

428462003760 is an abundant number, since it is smaller than the sum of its proper divisors (1264352792016).

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

428462003760 is a wasteful number, since it uses less digits than its factorization.

428462003760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 428462003760 in words is "four hundred twenty-eight billion, four hundred sixty-two million, three thousand, seven hundred sixty".