1628070400 has 240 divisors, whose sum is σ = 4554494208. Its totient is φ = 571392000.

The previous prime is 1628070361. The next prime is 1628070421. The reversal of 1628070400 is 40708261.

It is a super-2 number, since 2×1628070400² = 5301226454712320000, which contains 22 as substring.

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, 4364614 + ... + 4364986.

Almost surely, 2^1628070400 is an apocalyptic number.

1628070400 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 1628070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277247104).

1628070400 is an abundant number, since it is smaller than the sum of its proper divisors (2926423808).

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

1628070400 is a wasteful number, since it uses less digits than its factorization.

1628070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 1628070400 is about 40349.3543938438. The cubic root of 1628070400 is about 1176.4073434237.

Adding to 1628070400 its reverse (40708261), we get a palindrome (1668778661).

The spelling of 1628070400 in words is "one billion, six hundred twenty-eight million, seventy thousand, four hundred".