425251728 has 160 divisors (see below), whose sum is σ = 1345449600. Its totient is φ = 127526400.

The previous prime is 425251709. The next prime is 425251751. The reversal of 425251728 is 827152524.

It is a happy number.

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 = 425251692 and 425251701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517558 + ... + 518378.

It is an arithmetic number, because the mean of its divisors is an integer number (8409060).

Almost surely, 2^425251728 is an apocalyptic number.

425251728 is a gapful number since it is divisible by the number (48) 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 425251728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672724800).

425251728 is an abundant number, since it is smaller than the sum of its proper divisors (920197872).

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

425251728 is a wasteful number, since it uses less digits than its factorization.

425251728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 946 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 425251728 is about 20621.6325250936. The cubic root of 425251728 is about 751.9957088181.

It can be divided in two parts, 42525 and 1728, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 425251728 in words is "four hundred twenty-five million, two hundred fifty-one thousand, seven hundred twenty-eight".