428366957760 has 560 divisors, whose sum is σ = 1797658705920. Its totient is φ = 94752737280.

The previous prime is 428366957699. The next prime is 428366957771. The reversal of 428366957760 is 67759663824.

428366957760 is a `hidden beast` number, since 4 + 28 + 36 + 6 + 9 + 577 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 79 ways as a sum of consecutive naturals, for example, 5586561 + ... + 5662719.

It is an arithmetic number, because the mean of its divisors is an integer number (3210104832).

Almost surely, 2^428366957760 is an apocalyptic number.

428366957760 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 428366957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898829352960).

428366957760 is an abundant number, since it is smaller than the sum of its proper divisors (1369291748160).

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

428366957760 is a wasteful number, since it uses less digits than its factorization.

428366957760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76226 (or 76207 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 428366957760 in words is "four hundred twenty-eight billion, three hundred sixty-six million, nine hundred fifty-seven thousand, seven hundred sixty".