35425728 has 224 divisors, whose sum is σ = 119481600. Its totient is φ = 10202112.

The previous prime is 35425721. The next prime is 35425759. The reversal of 35425728 is 82752453.

It is a super-3 number, since 3×35425728³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (67200) is a multiple of the sum of its prime divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 35425692 and 35425701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35425721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426775 + ... + 426857.

It is an arithmetic number, because the mean of its divisors is an integer number (533400).

Almost surely, 2^35425728 is an apocalyptic number.

35425728 is a gapful number since it is divisible by the number (38) 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 35425728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59740800).

35425728 is an abundant number, since it is smaller than the sum of its proper divisors (84055872).

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

35425728 is a wasteful number, since it uses less digits than its factorization.

35425728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 35425728 is about 5951.9516127065. The cubic root of 35425728 is about 328.4275605998.

The spelling of 35425728 in words is "thirty-five million, four hundred twenty-five thousand, seven hundred twenty-eight".