928849152 has 288 divisors, whose sum is σ = 3131735040. Its totient is φ = 237404160.

The previous prime is 928849151. The next prime is 928849211. The reversal of 928849152 is 251948829.

It is a super-2 number, since 2×928849152² = 1725521494342238208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (928849151) 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, 6682299 + ... + 6682437.

It is an arithmetic number, because the mean of its divisors is an integer number (10874080).

Almost surely, 2^928849152 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 928849152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565867520).

928849152 is an abundant number, since it is smaller than the sum of its proper divisors (2202885888).

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

928849152 is a wasteful number, since it uses less digits than its factorization.

928849152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 275 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 928849152 is about 30477.0266266248. The cubic root of 928849152 is about 975.6972096655.

The spelling of 928849152 in words is "nine hundred twenty-eight million, eight hundred forty-nine thousand, one hundred fifty-two".