427528416 has 192 divisors, whose sum is σ = 1354752000. Its totient is φ = 115416576.

The previous prime is 427528379. The next prime is 427528501. The reversal of 427528416 is 614825724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2148285 + ... + 2148483.

It is an arithmetic number, because the mean of its divisors is an integer number (7056000).

Almost surely, 2^427528416 is an apocalyptic number.

427528416 is a gapful number since it is divisible by the number (46) 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 427528416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677376000).

427528416 is an abundant number, since it is smaller than the sum of its proper divisors (927223584).

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

427528416 is a wasteful number, since it uses less digits than its factorization.

427528416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 373 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 427528416 is about 20676.7602878207. The cubic root of 427528416 is about 753.3353179958.

The spelling of 427528416 in words is "four hundred twenty-seven million, five hundred twenty-eight thousand, four hundred sixteen".