428267132841600 has 2880 divisors, whose sum is σ = 1822078298810880. Its totient is φ = 98666201088000.

The previous prime is 428267132841539. The next prime is 428267132841731. The reversal of 428267132841600 is 6148231762824.

428267132841600 is a `hidden beast` number, since 4 + 2 + 8 + 2 + 6 + 7 + 1 + 3 + 28 + 4 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×428267132841600² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 142234184095 + ... + 142234187105.

It is an arithmetic number, because the mean of its divisors is an integer number (632666075976).

Almost surely, 2^{428267132841600} is an apocalyptic number.

428267132841600 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 428267132841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911039149405440).

428267132841600 is an abundant number, since it is smaller than the sum of its proper divisors (1393811165969280).

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

428267132841600 is a wasteful number, since it uses less digits than its factorization.

428267132841600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3281 (or 3242 counting only the distinct ones).

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

The spelling of 428267132841600 in words is "four hundred twenty-eight trillion, two hundred sixty-seven billion, one hundred thirty-two million, eight hundred forty-one thousand, six hundred".