1628138880 has 576 divisors, whose sum is σ = 6365595600. Its totient is φ = 397135872.

The previous prime is 1628138849. The next prime is 1628138923. The reversal of 1628138880 is 888318261.

1628138880 is a `hidden beast` number, since 1 + 628 + 13 + 8 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 56142706 + ... + 56142734.

Almost surely, 2^1628138880 is an apocalyptic number.

1628138880 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 1628138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182797800).

1628138880 is an abundant number, since it is smaller than the sum of its proper divisors (4737456720).

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

1628138880 is an equidigital number, since it uses as much as digits as its factorization.

1628138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 1628138880 is about 40350.2029734672. The cubic root of 1628138880 is about 1176.4238372324.

The spelling of 1628138880 in words is "one billion, six hundred twenty-eight million, one hundred thirty-eight thousand, eight hundred eighty".