1628956800 has 288 divisors, whose sum is σ = 5865004080. Its totient is φ = 430479360.

The previous prime is 1628956799. The next prime is 1628956801. The reversal of 1628956800 is 86598261.

1628956800 is a `hidden beast` number, since 1 + 6 + 2 + 89 + 568 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1628956799) and next prime (1628956801).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (1628956801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4694227 + ... + 4694573.

Almost surely, 2^1628956800 is an apocalyptic number.

1628956800 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 1628956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932502040).

1628956800 is an abundant number, since it is smaller than the sum of its proper divisors (4236047280).

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

1628956800 is a wasteful number, since it uses less digits than its factorization.

1628956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1628956800 is about 40360.3369658877. The cubic root of 1628956800 is about 1176.6208023098.

The spelling of 1628956800 in words is "one billion, six hundred twenty-eight million, nine hundred fifty-six thousand, eight hundred".