1628282400 has 72 divisors (see below), whose sum is σ = 5300067024. Its totient is φ = 434208000.

The previous prime is 1628282393. The next prime is 1628282407. The reversal of 1628282400 is 42828261.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1628282393) and next prime (1628282407).

It is not an unprimeable number, because it can be changed into a prime (1628282407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336826 + ... + 341625.

It is an arithmetic number, because the mean of its divisors is an integer number (73612042).

Almost surely, 2^1628282400 is an apocalyptic number.

1628282400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1628282400 is an abundant number, since it is smaller than the sum of its proper divisors (3671784624).

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

1628282400 is a wasteful number, since it uses less digits than its factorization.

1628282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678474 (or 678461 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 1628282400 is about 40351.9813639925. The cubic root of 1628282400 is about 1176.4584033640.

The spelling of 1628282400 in words is "one billion, six hundred twenty-eight million, two hundred eighty-two thousand, four hundred".