1628003664 has 320 divisors, whose sum is σ = 5656780800. Its totient is φ = 438248448.

The previous prime is 1628003603. The next prime is 1628003669. The reversal of 1628003664 is 4663008261.

1628003664 is a `hidden beast` number, since 16 + 280 + 0 + 366 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1628003669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6189997 + ... + 6190259.

It is an arithmetic number, because the mean of its divisors is an integer number (17677440).

Almost surely, 2^1628003664 is an apocalyptic number.

1628003664 is a gapful number since it is divisible by the number (14) 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 1628003664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828390400).

1628003664 is an abundant number, since it is smaller than the sum of its proper divisors (4028777136).

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

1628003664 is a wasteful number, since it uses less digits than its factorization.

1628003664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1628003664 is about 40348.5274080728. The cubic root of 1628003664 is about 1176.3912692225.

It can be divided in two parts, 162800 and 3664, that added together give a square (166464 = 408²).

The spelling of 1628003664 in words is "one billion, six hundred twenty-eight million, three thousand, six hundred sixty-four".