1628072640 has 84 divisors (see below), whose sum is σ = 5599901424. Its totient is φ = 434151936.

The previous prime is 1628072629. The next prime is 1628072651. The reversal of 1628072640 is 462708261.

1628072640 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 0 + 7 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1628072629) and next prime (1628072651).

It is a super-2 number, since 2×1628072640² = 5301241042233139200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1628072595 and 1628072604.

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 11 ways as a sum of consecutive naturals, for example, 279772 + ... + 285531.

Almost surely, 2^1628072640 is an apocalyptic number.

1628072640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1628072640 is an abundant number, since it is smaller than the sum of its proper divisors (3971828784).

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

1628072640 is a wasteful number, since it uses less digits than its factorization.

1628072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565326 (or 565313 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1628072640 is about 40349.3821514035. The cubic root of 1628072640 is about 1176.4078829481.

The spelling of 1628072640 in words is "one billion, six hundred twenty-eight million, seventy-two thousand, six hundred forty".