928058281474401 has 405 divisors, whose sum is σ = 1813223918896065. Its totient is φ = 456010256671200.

The previous prime is 928058281474393. The next prime is 928058281474463. The reversal of 928058281474401 is 104474182850829.

The square root of 928058281474401 is 30464049.

It is a perfect power (a square), and thus also a powerful number.

928058281474401 is a `hidden beast` number, since 9 + 2 + 8 + 0 + 5 + 82 + 8 + 147 + 4 + 401 = 666.

It is not a de Polignac number, because 928058281474401 - 2³ = 928058281474393 is a prime.

It is a super-2 number, since 2×928058281474401² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (928058281474801) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 1470773821356 + ... + 1470773821986.

Almost surely, 2^{928058281474401} is an apocalyptic number.

928058281474401 is the 30464049-th square number.

928058281474401 is the 15232025-th centered octagonal number.

It is an amenable number.

928058281474401 is a deficient number, since it is larger than the sum of its proper divisors (885165637421664).

928058281474401 is an frugal number, since it uses more digits than its factorization.

928058281474401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 928058281474401 in words is "nine hundred twenty-eight trillion, fifty-eight billion, two hundred eighty-one million, four hundred seventy-four thousand, four hundred one".