1628256240 has 240 divisors, whose sum is σ = 5972034432. Its totient is φ = 395145216.

The previous prime is 1628256233. The next prime is 1628256251. The reversal of 1628256240 is 426528261.

It is a happy number.

1628256240 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 25 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 1628256195 and 1628256204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 682089 + ... + 684471.

Almost surely, 2^1628256240 is an apocalyptic number.

1628256240 is a gapful number since it is divisible by the number (10) 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 1628256240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986017216).

1628256240 is an abundant number, since it is smaller than the sum of its proper divisors (4343778192).

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

1628256240 is a wasteful number, since it uses less digits than its factorization.

1628256240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1628256240 is about 40351.6572150389. The cubic root of 1628256240 is about 1176.4521029997.

The spelling of 1628256240 in words is "one billion, six hundred twenty-eight million, two hundred fifty-six thousand, two hundred forty".