16428627072 has 384 divisors, whose sum is σ = 57349393920. Its totient is φ = 4445798400.

The previous prime is 16428627053. The next prime is 16428627073. The reversal of 16428627072 is 27072682461.

It is a happy number.

16428627072 is a `hidden beast` number, since 16 + 4 + 2 + 8 + 627 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (16428627073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5105208 + ... + 5108424.

It is an arithmetic number, because the mean of its divisors is an integer number (149347380).

Almost surely, 2^16428627072 is an apocalyptic number.

16428627072 is a gapful number since it is divisible by the number (12) 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 16428627072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28674696960).

16428627072 is an abundant number, since it is smaller than the sum of its proper divisors (40920766848).

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

16428627072 is a wasteful number, since it uses less digits than its factorization.

16428627072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 16428627072 in words is "sixteen billion, four hundred twenty-eight million, six hundred twenty-seven thousand, seventy-two".