428798240640000 has 8800 divisors, whose sum is σ = 2166072510919680. Its totient is φ = 81749606400000.

The previous prime is 428798240639957. The next prime is 428798240640019. The reversal of 428798240640000 is 46042897824.

428798240640000 is a `hidden beast` number, since 42 + 87 + 9 + 82 + 40 + 6 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8800).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 799 ways as a sum of consecutive naturals, for example, 4817957759956 + ... + 4817957760044.

Almost surely, 2^{428798240640000} is an apocalyptic number.

428798240640000 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 428798240640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083036255459840).

428798240640000 is an abundant number, since it is smaller than the sum of its proper divisors (1737274270279680).

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

428798240640000 is a wasteful number, since it uses less digits than its factorization.

428798240640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 428798240640000 in words is "four hundred twenty-eight trillion, seven hundred ninety-eight billion, two hundred forty million, six hundred forty thousand".