1628057088000 has 1248 divisors, whose sum is σ = 7104341312640. Its totient is φ = 350119526400.

The previous prime is 1628057087971. The next prime is 1628057088029. The reversal of 1628057088000 is 8807508261.

It is an interprime number because it is at equal distance from previous prime (1628057087971) and next prime (1628057088029).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 548350516 + ... + 548353484.

It is an arithmetic number, because the mean of its divisors is an integer number (5692581180).

Almost surely, 2^{1628057088000} is an apocalyptic number.

1628057088000 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 1628057088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3552170656320).

1628057088000 is an abundant number, since it is smaller than the sum of its proper divisors (5476284224640).

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

1628057088000 is a wasteful number, since it uses less digits than its factorization.

1628057088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3038 (or 3003 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 1628057088000 in words is "one trillion, six hundred twenty-eight billion, fifty-seven million, eighty-eight thousand".