428058540 has 384 divisors, whose sum is σ = 1697955840. Its totient is φ = 87091200.

The previous prime is 428058523. The next prime is 428058551. The reversal of 428058540 is 45850824.

It is a super-2 number, since 2×428058540² = 366468227333863200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 428058495 and 428058504.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1523200 + ... + 1523480.

It is an arithmetic number, because the mean of its divisors is an integer number (4421760).

Almost surely, 2^428058540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428058540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848977920).

428058540 is an abundant number, since it is smaller than the sum of its proper divisors (1269897300).

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

428058540 is a wasteful number, since it uses less digits than its factorization.

428058540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 428058540 is about 20689.5756360540. The cubic root of 428058540 is about 753.6465613854.

The spelling of 428058540 in words is "four hundred twenty-eight million, fifty-eight thousand, five hundred forty".