61950028 has 48 divisors (see below), whose sum is σ = 129024000. Its totient is φ = 25467840.

The previous prime is 61950019. The next prime is 61950029. The reversal of 61950028 is 82005916.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (61950029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129093 + ... + 129571.

It is an arithmetic number, because the mean of its divisors is an integer number (2688000).

Almost surely, 2^61950028 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 61950028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64512000).

61950028 is an abundant number, since it is smaller than the sum of its proper divisors (67073972).

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

61950028 is a wasteful number, since it uses less digits than its factorization.

61950028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 61950028 is about 7870.8340091759. The cubic root of 61950028 is about 395.6827970319.

The spelling of 61950028 in words is "sixty-one million, nine hundred fifty thousand, twenty-eight".