1628254656 has 224 divisors, whose sum is σ = 5503956480. Its totient is φ = 462385152.

The previous prime is 1628254613. The next prime is 1628254657. The reversal of 1628254656 is 6564528261.

1628254656 is a `hidden beast` number, since 162 + 8 + 25 + 465 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1628254657) by changing a digit.

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, 2745496 + ... + 2746088.

Almost surely, 2^1628254656 is an apocalyptic number.

1628254656 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 1628254656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751978240).

1628254656 is an abundant number, since it is smaller than the sum of its proper divisors (3875701824).

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

1628254656 is a wasteful number, since it uses less digits than its factorization.

1628254656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 832 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 1628254656 is about 40351.6375875874. The cubic root of 1628254656 is about 1176.4517215076.

The spelling of 1628254656 in words is "one billion, six hundred twenty-eight million, two hundred fifty-four thousand, six hundred fifty-six".