1248506028 has 384 divisors, whose sum is σ = 4335206400. Its totient is φ = 301190400.

The previous prime is 1248506011. The next prime is 1248506029. The reversal of 1248506028 is 8206058421.

1248506028 is a `hidden beast` number, since 1 + 2 + 48 + 5 + 0 + 602 + 8 = 666.

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 = 1248505983 and 1248506001.

It is not an unprimeable number, because it can be changed into a prime (1248506029) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7476001 + ... + 7476167.

It is an arithmetic number, because the mean of its divisors is an integer number (11289600).

Almost surely, 2^1248506028 is an apocalyptic number.

1248506028 is a gapful number since it is divisible by the number (18) 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 1248506028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167603200).

1248506028 is an abundant number, since it is smaller than the sum of its proper divisors (3086700372).

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

1248506028 is a wasteful number, since it uses less digits than its factorization.

1248506028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1248506028 is about 35334.2047879954. The cubic root of 1248506028 is about 1076.7880185830.

The spelling of 1248506028 in words is "one billion, two hundred forty-eight million, five hundred six thousand, twenty-eight".