1627942428000 has 768 divisors, whose sum is σ = 6955393536000. Its totient is φ = 362038118400.

The previous prime is 1627942427989. The next prime is 1627942428029. The reversal of 1627942428000 is 8242497261.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27942901 + ... + 28001099.

It is an arithmetic number, because the mean of its divisors is an integer number (9056502000).

Almost surely, 2^{1627942428000} is an apocalyptic number.

1627942428000 is a gapful number since it is divisible by the number (10) 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 1627942428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477696768000).

1627942428000 is an abundant number, since it is smaller than the sum of its proper divisors (5327451108000).

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

1627942428000 is a wasteful number, since it uses less digits than its factorization.

1627942428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58277 (or 58253 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1627942428000 in words is "one trillion, six hundred twenty-seven billion, nine hundred forty-two million, four hundred twenty-eight thousand".