428355553824 has 144 divisors (see below), whose sum is σ = 1373275199520. Its totient is φ = 129804681600.

The previous prime is 428355553819. The next prime is 428355553837.

428355553824 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 5 + 5 + 553 + 82 + 4 = 666.

428355553824 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×428355553824² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 1944142 + ... + 2153229.

It is an arithmetic number, because the mean of its divisors is an integer number (9536633330).

Almost surely, 2^428355553824 is an apocalyptic number.

428355553824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

428355553824 is an abundant number, since it is smaller than the sum of its proper divisors (944919645696).

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

428355553824 is a wasteful number, since it uses less digits than its factorization.

428355553824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4097412 (or 4097387 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 54.

The spelling of 428355553824 in words is "four hundred twenty-eight billion, three hundred fifty-five million, five hundred fifty-three thousand, eight hundred twenty-four".