248021928 has 288 divisors, whose sum is σ = 871416000. Its totient is φ = 63645120.

The previous prime is 248021911. The next prime is 248021951. The reversal of 248021928 is 829120842.

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 = 248021892 and 248021901.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2988175 + ... + 2988257.

It is an arithmetic number, because the mean of its divisors is an integer number (3025750).

Almost surely, 2^248021928 is an apocalyptic number.

248021928 is a gapful number since it is divisible by the number (28) 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 248021928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435708000).

248021928 is an abundant number, since it is smaller than the sum of its proper divisors (623394072).

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

248021928 is a wasteful number, since it uses less digits than its factorization.

248021928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 248021928 is about 15748.7119473308. The cubic root of 248021928 is about 628.2946471892.

The spelling of 248021928 in words is "two hundred forty-eight million, twenty-one thousand, nine hundred twenty-eight".