428857356000 has 384 divisors, whose sum is σ = 1470210932736. Its totient is φ = 109077196800.

The previous prime is 428857355989. The next prime is 428857356001. The reversal of 428857356000 is 653758824.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428857356001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105705972 + ... + 105710028.

It is an arithmetic number, because the mean of its divisors is an integer number (3828674304).

Almost surely, 2^428857356000 is an apocalyptic number.

428857356000 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 428857356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735105466368).

428857356000 is an abundant number, since it is smaller than the sum of its proper divisors (1041353576736).

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

428857356000 is a wasteful number, since it uses less digits than its factorization.

428857356000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4491 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 428857356000 in words is "four hundred twenty-eight billion, eight hundred fifty-seven million, three hundred fifty-six thousand".