1628542080 has 192 divisors, whose sum is σ = 6135030720. Its totient is φ = 394782720.

The previous prime is 1628542073. The next prime is 1628542093. The reversal of 1628542080 is 802458261.

1628542080 is a `hidden beast` number, since 1 + 628 + 5 + 4 + 20 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 50509 + ... + 76211.

It is an arithmetic number, because the mean of its divisors is an integer number (31953285).

Almost surely, 2^1628542080 is an apocalyptic number.

1628542080 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 1628542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067515360).

1628542080 is an abundant number, since it is smaller than the sum of its proper divisors (4506488640).

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

1628542080 is a wasteful number, since it uses less digits than its factorization.

1628542080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25739 (or 25724 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1628542080 is about 40355.1989215764. The cubic root of 1628542080 is about 1176.5209409351.

The spelling of 1628542080 in words is "one billion, six hundred twenty-eight million, five hundred forty-two thousand, eighty".