1361258028 has 192 divisors, whose sum is σ = 3998400000. Its totient is φ = 397571328.

The previous prime is 1361258027. The next prime is 1361258029. The reversal of 1361258028 is 8208521631.

It is a happy number.

1361258028 is a `hidden beast` number, since 13 + 61 + 2 + 580 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1361258027) and next prime (1361258029).

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 = 1361257983 and 1361258001.

It is not an unprimeable number, because it can be changed into a prime (1361258023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2727723 + ... + 2728221.

It is an arithmetic number, because the mean of its divisors is an integer number (20825000).

Almost surely, 2^1361258028 is an apocalyptic number.

1361258028 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 1361258028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999200000).

1361258028 is an abundant number, since it is smaller than the sum of its proper divisors (2637141972).

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

1361258028 is a wasteful number, since it uses less digits than its factorization.

1361258028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1361258028 is about 36895.2304234572. The cubic root of 1361258028 is about 1108.2731659325.

Adding to 1361258028 its reverse (8208521631), we get a palindrome (9569779659).

The spelling of 1361258028 in words is "one billion, three hundred sixty-one million, two hundred fifty-eight thousand, twenty-eight".