1628556480 has 672 divisors, whose sum is σ = 6504675840. Its totient is φ = 371589120.

The previous prime is 1628556431. The next prime is 1628556521. The reversal of 1628556480 is 846558261.

1628556480 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 5 + 564 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 44015022 + ... + 44015058.

Almost surely, 2^1628556480 is an apocalyptic number.

1628556480 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 1628556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252337920).

1628556480 is an abundant number, since it is smaller than the sum of its proper divisors (4876119360).

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

1628556480 is a wasteful number, since it uses less digits than its factorization.

1628556480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 1628556480 is about 40355.3773368556. The cubic root of 1628556480 is about 1176.5244086280.

The spelling of 1628556480 in words is "one billion, six hundred twenty-eight million, five hundred fifty-six thousand, four hundred eighty".