428688837600 has 288 divisors, whose sum is σ = 1508527198080. Its totient is φ = 105372887040.

The previous prime is 428688837589. The next prime is 428688837601. The reversal of 428688837600 is 6738886824.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428688837601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1560159 + ... + 1814241.

It is an arithmetic number, because the mean of its divisors is an integer number (5237941660).

Almost surely, 2^428688837600 is an apocalyptic number.

428688837600 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 428688837600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754263599040).

428688837600 is an abundant number, since it is smaller than the sum of its proper divisors (1079838360480).

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

428688837600 is a wasteful number, since it uses less digits than its factorization.

428688837600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254162 (or 254149 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 60.

The spelling of 428688837600 in words is "four hundred twenty-eight billion, six hundred eighty-eight million, eight hundred thirty-seven thousand, six hundred".