928309126144 has 33 divisors (see below), whose sum is σ = 1855773335577. Its totient is φ = 464139147264.

The previous prime is 928309126133. The next prime is 928309126177. The reversal of 928309126144 is 441621903829.

It is a happy number.

The square root of 928309126144 is 963488.

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

It can be written as a sum of positive squares in only one way, i.e., 329604588544 + 598704537600 = 574112^2 + 773760^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 30816562 + ... + 30846670.

Almost surely, 2^928309126144 is an apocalyptic number.

928309126144 is the 963488-th square number.

It is an amenable number.

928309126144 is a deficient number, since it is larger than the sum of its proper divisors (927464209433).

928309126144 is an frugal number, since it uses more digits than its factorization.

928309126144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60238 (or 30111 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

Multiplying 928309126144 by its sum of digits (49), we get a square (45487147181056 = 6744416²).

The spelling of 928309126144 in words is "nine hundred twenty-eight billion, three hundred nine million, one hundred twenty-six thousand, one hundred forty-four".