428682240000 has 1120 divisors, whose sum is σ = 1817931075840. Its totient is φ = 97763328000.

The previous prime is 428682239989. The next prime is 428682240029. The reversal of 428682240000 is 42286824.

It is a happy number.

428682240000 is a `hidden beast` number, since 428 + 6 + 8 + 224 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 967679779 + ... + 967680221.

Almost surely, 2^428682240000 is an apocalyptic number.

428682240000 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 428682240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908965537920).

428682240000 is an abundant number, since it is smaller than the sum of its proper divisors (1389248835840).

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

428682240000 is an frugal number, since it uses more digits than its factorization.

428682240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 428682240000 in words is "four hundred twenty-eight billion, six hundred eighty-two million, two hundred forty thousand".