1928625552 has 400 divisors, whose sum is σ = 6856227840. Its totient is φ = 511163136.

The previous prime is 1928625547. The next prime is 1928625563. The reversal of 1928625552 is 2555268291.

1928625552 is a `hidden beast` number, since 1 + 92 + 8 + 6 + 2 + 5 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1928625498 and 1928625507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11548573 + ... + 11548739.

Almost surely, 2^1928625552 is an apocalyptic number.

1928625552 is a gapful number since it is divisible by the number (12) 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 1928625552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428113920).

1928625552 is an abundant number, since it is smaller than the sum of its proper divisors (4927602288).

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

1928625552 is a wasteful number, since it uses less digits than its factorization.

1928625552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 265 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 1928625552 is about 43916.1195007027. The cubic root of 1928625552 is about 1244.7514440664.

The spelling of 1928625552 in words is "one billion, nine hundred twenty-eight million, six hundred twenty-five thousand, five hundred fifty-two".