1628606736 has 225 divisors, whose sum is σ = 5060552871. Its totient is φ = 505579968.

The previous prime is 1628606671. The next prime is 1628606741. The reversal of 1628606736 is 6376068261.

The square root of 1628606736 is 40356.

It is a perfect power (a square), and thus also a powerful number.

1628606736 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 606 + 7 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1628606691 and 1628606700.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 27603475 + ... + 27603533.

Almost surely, 2^1628606736 is an apocalyptic number.

1628606736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1628606736 is the 40356-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1628606736

1628606736 is an abundant number, since it is smaller than the sum of its proper divisors (3431946135).

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

1628606736 is an equidigital number, since it uses as much as digits as its factorization.

1628606736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The cubic root of 1628606736 is about 1176.5365107162.

The spelling of 1628606736 in words is "one billion, six hundred twenty-eight million, six hundred six thousand, seven hundred thirty-six".