1628691456 has 352 divisors, whose sum is σ = 5376568320. Its totient is φ = 428212224.

The previous prime is 1628691437. The next prime is 1628691509. The reversal of 1628691456 is 6541968261.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18299860 + ... + 18299948.

Almost surely, 2^1628691456 is an apocalyptic number.

1628691456 is a gapful number since it is divisible by the number (16) 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 1628691456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688284160).

1628691456 is an abundant number, since it is smaller than the sum of its proper divisors (3747876864).

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

1628691456 is a wasteful number, since it uses less digits than its factorization.

1628691456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 161 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 1628691456 is about 40357.0496443930. The cubic root of 1628691456 is about 1176.5569114761.

The spelling of 1628691456 in words is "one billion, six hundred twenty-eight million, six hundred ninety-one thousand, four hundred fifty-six".