1625012928 has 672 divisors, whose sum is σ = 6390558720. Its totient is φ = 396887040.

The previous prime is 1625012903. The next prime is 1625012933. The reversal of 1625012928 is 8292105261.

1625012928 is a `hidden beast` number, since 1 + 62 + 501 + 2 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 1625012892 and 1625012901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27542563 + ... + 27542621.

It is an arithmetic number, because the mean of its divisors is an integer number (9509760).

Almost surely, 2^1625012928 is an apocalyptic number.

1625012928 is a gapful number since it is divisible by the number (18) 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 1625012928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195279360).

1625012928 is an abundant number, since it is smaller than the sum of its proper divisors (4765545792).

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

1625012928 is a wasteful number, since it uses less digits than its factorization.

1625012928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1625012928 is about 40311.4490932787. The cubic root of 1625012928 is about 1175.6704616013.

The spelling of 1625012928 in words is "one billion, six hundred twenty-five million, twelve thousand, nine hundred twenty-eight".