1628035095456 has 384 divisors, whose sum is σ = 5926608414720. Its totient is φ = 422403379200.

The previous prime is 1628035095403. The next prime is 1628035095493. The reversal of 1628035095456 is 6545905308261.

1628035095456 is a `hidden beast` number, since 1 + 6 + 2 + 80 + 3 + 509 + 5 + 4 + 56 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct 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 63 ways as a sum of consecutive naturals, for example, 62989096 + ... + 63014936.

It is an arithmetic number, because the mean of its divisors is an integer number (15433876080).

Almost surely, 2^{1628035095456} is an apocalyptic number.

1628035095456 is a gapful number since it is divisible by the number (16) 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 1628035095456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963304207360).

1628035095456 is an abundant number, since it is smaller than the sum of its proper divisors (4298573319264).

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

1628035095456 is a wasteful number, since it uses less digits than its factorization.

1628035095456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26825 (or 26811 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 1628035095456 in words is "one trillion, six hundred twenty-eight billion, thirty-five million, ninety-five thousand, four hundred fifty-six".