61352928 has 144 divisors (see below), whose sum is σ = 214826976. Its totient is φ = 16174080.

The previous prime is 61352897. The next prime is 61352953. The reversal of 61352928 is 82925316.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 61352892 and 61352901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25038 + ... + 27378.

It is an arithmetic number, because the mean of its divisors is an integer number (1491854).

Almost surely, 2^61352928 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 61352928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107413488).

61352928 is an abundant number, since it is smaller than the sum of its proper divisors (153474048).

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

61352928 is a wasteful number, since it uses less digits than its factorization.

61352928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2366 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 61352928 is about 7832.8109896767. The cubic root of 61352928 is about 394.4074392375.

The spelling of 61352928 in words is "sixty-one million, three hundred fifty-two thousand, nine hundred twenty-eight".