1628605440 has 1056 divisors, whose sum is σ = 7725279744. Its totient is φ = 318504960.

The previous prime is 1628605397. The next prime is 1628605441. The reversal of 1628605440 is 445068261.

1628605440 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 605 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a junction number, because it is equal to n+sod(n) for n = 1628605395 and 1628605404.

It is not an unprimeable number, because it can be changed into a prime (1628605441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95800312 + ... + 95800328.

Almost surely, 2^1628605440 is an apocalyptic number.

1628605440 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 1628605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862639872).

1628605440 is an abundant number, since it is smaller than the sum of its proper divisors (6096674304).

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

1628605440 is a wasteful number, since it uses less digits than its factorization.

1628605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1628605440 is about 40355.9839429049. The cubic root of 1628605440 is about 1176.5361986311.

The spelling of 1628605440 in words is "one billion, six hundred twenty-eight million, six hundred five thousand, four hundred forty".