1628147040 has 96 divisors (see below), whose sum is σ = 5523196896. Its totient is φ = 400773120.

The previous prime is 1628147039. The next prime is 1628147047. The reversal of 1628147040 is 407418261.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1628146992 and 1628147010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1628147047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124221 + ... + 136700.

It is an arithmetic number, because the mean of its divisors is an integer number (57533301).

Almost surely, 2^1628147040 is an apocalyptic number.

1628147040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1628147040 is an abundant number, since it is smaller than the sum of its proper divisors (3895049856).

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

1628147040 is a wasteful number, since it uses less digits than its factorization.

1628147040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260952 (or 260944 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 1628147040 is about 40350.3040880735. The cubic root of 1628147040 is about 1176.4258025853.

The spelling of 1628147040 in words is "one billion, six hundred twenty-eight million, one hundred forty-seven thousand, forty".